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History - Part 1

Written by G. T. Hushion. Posted in History

 


 

OVERVIEW ...AND MORE

Random game theory, and its application into scientific areas other than gaming, was the ostensible subject of Simon Laplace's infamous debate with Rudjer Boskovic in 1776. Unexpectedly, in one of the regular bi-weekly meetings of the Paris Academy of Sciences, Laplace claimed the randomness of game theory could predict the randomness of the universe. The meetings were public. They featured open debates between members and it was a form of popular entertainment, especially among the intelligentsia and salon patrons. Laplace rudely challenged Boskovic. Laplace claimed game theory could more accurately predict the orbits of comets than the methodology of "action at a distance" which Boskovic was using.

When viewed in full context, the ostensible issue was a fraud. The first clue that something was amiss or afoot was that Laplace read from prepared notes. This was most unusual in that age of wit. It is not hard to figure out who gave them to him. It would be the same people who quietly mentored him into the Academy as a front for their work with Buffon's Needle and other matters banned by the Church. They would be: George Buffon, the Academy's Permanent Treasurer, and Jean Condorcet, the Academy's Permanent Secretary. It now appears that in 1770, they had quietly slipped Laplace the Needle ...and quietly helped him quietly use it ...and just as quietly helped Laplace loudly bill himself as the "greatest mathematician in France."

In 1776, with deep irony, they quietly sacrificed Laplace by letting him --and traditional random theory, including all random game theory-- appear to win the debate. This "win" is the origin of organized traditional random theory. From 1793, until at least 1815, Laplace controlled virtually all of education with special control over science and mathematics. He made certain that his original claim of game theory, and false "win" in the Boskovic debate, would stick.

...And it was all a fraud!

The first twist is that the men behind Laplace already almost certainly knew traditional random theory would academically lose an honest debate against "action at a distance"... and would do so with a .08333 flat bet advantage. They also knew Boskovic couldn't properly defend "action at a distance" ...since the methodology had been banned by the Roman Catholic Church and Boskovic was a priest. More! Boskovic was not only a priest, but before the Order was banned was perhaps the wold's most famous Jesuit!

In 1770, and again in 1776, Georges Buffon could not afford to run afoul of the Roman Catholic Church. He could not afford to embarrass himself or the Academy. The Church already objected to Buffon's theory of evolution and banned his books. How would the Church respond to the conclusion of Buffon's Needle that, relative to randomness and gravity, people and their senses and perceptions are just so much relative pi? How would the Church respond to Buffon and his Needle's natural extension with "action at a distance" ...when "action at a distance" was already banned by the Church?!

In 1733, Buffon's Needle pointed to the grail. Its proof was by calculus. It was such an early use of calculus that Buffon has even  been credited by one historian as independently inventing calculus, although that does not seem to be the case (most historians agree Buffon studied briefly with Newton's disciples). The proof and deductions and inferences of the original Needle came with (and continues with) a startling psychological conclusion: relative to randomness and gravity ...life and its senses and perceptions are just pi!

More: relative to the geometry of randomness and gravity, the original Needle proves pi as the Center of Rotation of a 3 pole diameter in the first instance. That fact that pi appears as the ratio of a 4 pole circle to diameter is a secondary mathematical statement of averages and static Euclidean geometry ...just perception.

That is: relative to the randomness of gravity, we and our perceptions are pi. Geometrically, we and our perceptions and pi are the Center of Rotation.

Since a close study of the original Needle naturally leads to "action at a distance," and since "action at a distance" contains a geometric finesse that eliminates the Center of Rotation, the methodology of "action at a distance" also eliminates the Center of Rotation --and the scientist and his or her experiment-- from what gravity is randomly delivering!

In short, the original Needle reduces everything other than gravity to a manageable bite size chunk of relative 1/4 pi as the random unit of measure. The original Needle's natural extension with "action at a distance" spookily changes relative 1/4 pi into 1/6 pi as the geometric result!

How to explain that?

The only explanation that makes analytical sense is that, relative to the serial random measurement of gravity, life does not exist except as relative pi ...and "action at a distance" even eliminates pi?!

Bufffon first submitted his Needle to the Academy in 1733. In 1734, it was first published a journal reserved for submissions by non-members.

In his original Needle, Buffon was cautious and left it incomplete. If he had pushed the point of the Needle in 1733, how might the Roman Catholic Church have responded?

Buffon clearly had to guard against over exposing the Needle.

When the Needle was published, Rudjer Boskovic was the rising mathematical star of the Colegio Romano. It was the apex of the Jesuit educational structure. It is probable that he had immediate access to the original Needle in 1734. It is entirely possible he was even asked to review its mathematical nature for coherency with Church doctrine.

It is also entirely possible he was fired from the Colegio Romano for expressing favorable views concerning "action at a distance" and/or the original Needle. Certainly Boskovic was using "action at a distance" when the great debate started in 1776. He may also have quietly used the Needle to help make his point (just as Buffon and Condorcet had given Laplace the Needle to quietly use).

There was discord in later years between Buffon and Boskovic. Ostensibly, it concerned payment of money. Could it have also concerned the Needle?

In 1776, it is inconceivable that Laplace would independently act as he did without the consent and direction of the Academy's two senior officers, Buffon and Condorcet. Not only would Laplace not have acted independently, he apparently lacked the mathematical ability to even understand Boskovic's work. This is aside from the distinct possibility that Laplace did not even understand his own conclusionary argument which even he, Laplace, had to read!

Laplace had not been mentored in by Buffon and Condorcet as a result of his mathematical abilities. Laplace was marginally competent and had a basic grasp of calculus. That was enough. Laplace was mentored in for his moral flexibility and willingness to be a front for the work of others. The evidence of how casually he carried his moral balance was his apparent willingness to wear a cleric's garb to initially establish credibility.

As discussed within, it was almost certainly known to the men behind Laplace that, in predicting the orbits of comets, "action at a distance" delivered, as a geometric probability with relativity, a flat bet random advantage over game theory: .08333.... !

The Laplace/Boskovic debate was not legitimate in the first instance. It was a politically motivated event with the economic future of France perceived as hanging in the balance. Also hanging was the reputation of the Paris Academy of Sciences. As well, the Academy leaders had significant personal financial interests. Antoine Lavoisier is considered the father of modern chemistry. In 1776, he was the Academy's rising star. More, he was recognized as the perhaps the greatest scientist since Newton. More yet, Lavoisier not only had his own Tax Franchise, but ran his father-in-law's ...which covered most of Paris and was the largest such Franchise in France. Lavoisier's father-in-law was counsel to the King's Parliament. Lavoisier was not only the largest single contributor to the King's coffers, he had a pipeline directly into the King's ear.

In 1776, Ben Franklin was in Paris to borrow money to finance the A merican Revolution. He was hosted by the Academy. If France made the loan ...and if America won ...the new Trade Agreements between America and France would theoretically generate a flow of goods that would make Lavoisier staggeringly wealthy and significantly enrich the nearly depleted Royal purse. Lavoisier was not alone with financial interests in the loan and resulting trade agreements.

Condorcet was Inspector General of the Royal Mint. He would expect to get royally paid for his inspections of the anticipated flow of francs.

It was in the best interests of virtually all the French power players that America and England not make peace. If they did, England would undoubtedly get those same trade agreements it already enjoyed. Above all, France wanted those trade agreements.

It was imperative that Boskovic did not ever again appear as a brilliant peace maker. He had already once before inspired England and France to make peace ...and pulled Ben Franklin into it on his side!

Franklin would have attended that rude and bitter debate in which Boskovic was repeatedly insulted and embarrassed for over a year.

Laplace's debate position was based on a technicality. He argued ...without comparative mathematical justification ...that traditional random theory could more accurately predict a comet's random orbit than Boskovic's methodology of "action at a distance."

Laplace alleged "action at a distance" was useless. He said that any perceived advantage was temporary and imaginary.

Laplace and his backers knew the argument they pushed Laplace to make was wrong, or at least incomplete. They also knew they could get away with it. Action at a distance had been banned by the church and Boskovic was a prominent priest. Laplace's backers knew Boskovic could not properly defend his methodology. The intent was to use Laplace to embarrass and discredit Boskovic in the eyes of Ben Franklin and the English agents Franklin was negotiating with. The motive of the men behind Laplace was to prevent Boskovic from inspiring and helping Franklin make peace with England.

The verbally abusive public assault on Boskovic centered around Boskovic's use of "action at a distance" to predict the orbit of comets. Boskovic's methodology appeared to have a .08333 advantage over traditional random theory. Laplace claimed the advantage was an illusion. Just smoke.

It must be noted that Boskovic is the father of atomic theory. His methodology of "action at a distance" not only delivers a flat bet advantage of .08333 as a geometric probability in predicting the random orbit of comets ...it is the identical result of .08333 that the Quantum sciences get, especially including Bell's Theorem, by using the identical methodology to predict random particle spin! This is also the gravity bet.

Boskovic's methodology in the 18th Century ...and the Quantum sciences in the 20th and 21st Century ...and the gravity bet ...all share the identical core methodology: "action at a distance." It may be summed up in a single sentence. Take a series of three random trials and ignore the second trial while predicting the third to be a relative pi-angle pole of sixty degrees, relative to the first. This is a geometric finesse. Its mechanics are identical to the common finesse in Bridge. This is "action at a distance."

[This website and Forum explore the scope of the geometric finesse and how most table games, other than roulette with a dealer's random release of the ball, require a deeper finesse than three trials.]

Here, this history requires a digression.

A relative pi-angle pole is an opposing pole. Ex: if South was the first random event, North would be the relative pi-angle pole. With "action at a distance," the relative pi-angle pole (the physically opposing pole or pocket) may be predicted and found at the third event.

The example of comets and particles is transposed here to a roulette wheel. The methodology of Boskovic (and Quantum science) is reintroduced here as the gravity bet. It uses "action at a distance" to deliver -without any change whatsoever from two centuries ago or from a modern Quantum physics lab- a geometric probability with the same flat bet advantage: .08333 . In game theory, this is doubled: .16666 .

Both Boskovic and Quantum theory base their geometric reality in the prediction of a relative pi-angle pole.

The deductions and inferences of the original Needle are that, gravitationally, a "game" consists the algebraic possibility of predicting one of two directions. If two directions on a circle are not considered, a relative pi-angle pole identifies a random field as one half of a circle (i.e. South/ West or East/ North). If two directions are considered, a relative pi-angle pole identifies a circle (South/West/North/East).

Cracking Pi uses the gravity bet to examine random game theory and the factor of two directions. This is the application of "action at a distance" to a table game. It contains the .16666 flat bet advantage that naturally appears with "action at a distance."

In this respect, Cracking Pi is an extension of the Laplace/Boskovic debate.

Here, the field is the entire "circle" of a "game" rather than the semi circle "game" of particle spin or comet prediction. As described herein, a "game" is a recurring series on a "circle." By factoring the relative pi-angle pole on a "circle" instead of looking for the relative pi-angle pole on a semi-circle, the flat bet advantage is fundamentally doubled in the gravity bet to .16666 . This is discussed elsewhere in this web site.

Of the .16666 advantage, .08333 is a geometric probability of gravity's straight line pull along a pi-angle or "diameter" of the field or game. This is the gravitational field. The straight line pull of gravity is the most fundamental geometric probability. When we take a series of random measurements (spin of wheel or toss of cube or turn of card or any other random trial and outcome that is recorded or predicted or bet) all that is "rotating" or tossed or shuffled and/or being randomly measured, recorded, predicted or bet ...is the straight line pull of gravity.

In other words, when all is random, a "game" (including a roulette wheel) is not a circle. It is a straight line.

Of the .16666 advantage, the other .08333 is the algebraic possibility of two directions on a circle, with the geometric certainty of one direction. This is the "game."

Here, in terms of roulette, is Laplace's argument of using random game theory to predict the orbits of comets. On a 38 pocket wheel, a random roulette pocket has the precise algebraic possibility: 1/38. Without factoring the frets, that is about as mathematically precise as it can get.

However, Laplace was proven wrong in the debate. He --and traditional random theory-- only appeared to win the debate.

The original Buffon Needle Problem demonstrated the universal random average to be one fourth of the game or circle or field. That is: 1/4 C. This was Laplace's argument. By the proof of the Needle, 1/4 C can be substituted for 1/38. Both are mathematically coherent with traditional random theory. That is, geometrically, 1/38 will be somewhere in a slice of the circle that consists of 9 1/2 pockets (any other size slice is not random).

Laplace's calculation that the average measurement of a comet's orbit is at a point of 90 degrees from a base observation was correct. That is: 1/4 C. It is a quadrant of the wheel or circle or game. It is a Cardinal pole. It is the length of the original Needle. It is the universal random average. Relative to the "game," every random outcome is within one of the relative Cardinal poles. Every series of random outcomes may be perceived as a series of Cardinal poles....

However, relative to gravity, the circle and the "game" and the Cardinal poles are all just a perception ...just pi in rotation.

A Cardinal pole consists of 90 degrees of arc. By the proof of the original Needle, a Cardinal pole (1/4 C) is also a statement of relative 1/4 pi. Just a mathematical perception of averages.

The statement "1/4 C" is just an algebraic gaming statement of averages under traditional random theory. It does not address the geometric probabilities delivered by "action at a distance."

The statement "1/38" fits traditional random theory and exists in the game as an algebraic gaming statement of averages. That is, algebraically, it will averagely appear one in every thirty eight trials. By geometric definition, it will occur in one of the Cardinal poles. The statement "1/38" also does not address or reflect the geometric probabilities delivered by "action at a distance." The statement "1/4 C" may be substituted for "1/38" and it still does not reflect the geometric probabilities delivered by "action at a distance."

The relationship of randomness to gravity only appears with the original Needle. It only appears when "relative 1/4 pi" is substituted for "1/4 C" or "1/38."

Action at a distance delivers a flat bet geometric probability, at some point of relativity, within a precise section of the wheel. That sectional size is: .16666 . It is the physically opposing pole relative to the first random measurement. It is 60 degrees of arc along the circumference of the circle or wheel or field or game. This is the size of a relative pi-angle pole.

It is smaller than a Cardinal pole of 90 degrees.

If a Cardinal pole (such as relative North) is a .25 possibility ...it becomes a relative pi-angle pole with a .33333 geometric probability, factored by two possible directions, when the random measurements are made using "action at a distance."

This is what spooked Albert Einstein.

The statement "1/38" obviously appears technically more precise than "somewhere within .16666" (or "somewhere in .08333"). However, geometrically, there are fundamental statistical changes from traditional random theory when "action at a distance" is used to predict the relative time and place of .16666 of the wheel, as a relative pi-angle pole, at the third trial.

The statement "1/38" gets its validity as a percentage. By the proof of the original Needle, "1/38" is truly a more accurate statement than "somewhere within .16666 of the wheel" ...but it is also a disingenuous statement. A pocket with a precise 1/38 possibility can algebraically appear anywhere on the wheel (or orbit). This can even be narrowed to a point of 90 degrees ...but only as an algebraic conclusion.

In contrast, the .16666 only appears geometrically and only at the relative pi-angle pole. In the case of comets, the "game" includes an extra "dimension." This shifts the position of relative pole by a factor of 1/2 pi. This is discussed below.

Back to history....

Action at a distance was banned by the Roman Catholic Church. Since France was a officially a Catholic country (the only European country to be Catholic by royal decree) the Paris Academy of Sciences could not openly study "action at a distance" without offending both the Church and the King. This factor carried additional weight since it was the King's Academy.

Equally serious was a unique and politically delicate situation. Buffon's work was also banned by the Church ...and Buffon was Permanent Treasurer of the Academy. To make matters worse, Buffon's Needle Problem opened the door to "action at a distance." The easiest way to study "action at a distance" was to use the Needle.

Here, Buffon had another special problem. As Permanent Treasurer, he was expected to fund Academy affairs out of his own pocket. He would later, at the King's whim (of course) be reimbursed. If Buffon embarrassed the King by studying "action at a distance," he could well expect difficulty in collecting his Academy outlay funds. It is worth noting that at the time of his death, Buffon was owed hundreds of thousands of francs by the King.

Since "action at a distance" and the original Buffon Needle Problem deductively and inferentially lead into each other, it was a political/religious chopping block to openly study these matters, together or separately. It could get serious for anyone who was perceived as working these studies of randomness. Buffon was on a tightrope with his Needle. He, and other scientists and mathematicians in the Academy needed to use the Needle and its resulting calculus ...but couldn't due to the religious ban.

Buffon's solution was to find a man to front for him and othes. In this task, he was helped by Jean Condorcet, then assistant to the ailing Permanent Secretary of the Academy (Condorcet would soon to be Permanent Secretary). Lavoisier appears to have also been involved (at least during the great debate). So too, Jean Sylvain Baily who was perhaps the greatest astronomer of his time. As well, Gaspard Monge, the father of descriptive geometry may have been involved. All were Catholics. All were prominent scientists. All would be chomping at the bit to study "action at a distance." Yet, all were constrained from doing so.

This presented a serious problem for the Academy. Calculus was proving an invaluable tool ...but always comes with that same serious problem. If looked for, every application of calculus to a series of random events always leads to the same conclusion as the Needle ...everything random is relative to pi in the first instance!

At least until 1770, the Academy's resident atheist was the aging D'Alembert. Despite involvement with his own work, he was apparently doing calculus problems for others when their matters may have touched too closely upon "action at a distance."

The Academy needed some fresh young brave atheist blood to front their calculus. The man they found to do their forbidden work was Laplace. He was made on offer he couldn't refuse. If he would be a front for their calculations with the Needle and "action at a distance," he could call himself the "greatest mathematician in France." He would be given a job teaching mathematics at the Military Academy. It came with room and board and a salary. If all worked out in a couple of years, it would turn into a plush no-show job as he fronted their calculations.

The offer also came with special conditions.

Buffon needed a way to use calculus to find the advantage of "action at a distance" without apparently using or mentioning the Needle (since Buffon's work was banned by the Church) and without mentioning or overtly using "action at a distance" (since "actio in distans" was also banned by the Church) and without mentioning Buffon (since he certainly could not afford to again tick off the Vatican or the King).

Ultimately, Buffon and Condorcet and Laplace were not successful. There is no way to mathematically resolve traditional random theory with "action at a distance." As discussed immediately below, the only solution is to do what Boskovic did ...just do it.

Here is the exception, or at least the explanation, to the impossibility of using traditional random theory to understand "action at a distance." It lies in the world of pi. Other than just using traditional math to come to the nontraditional answer of "action at a distance," it is possible to make mathematical sense of "action at a distance" by using the original Needle's length of relative 1/4 pi. It is the translation between the statistical randomness we perceive (1/4 C) and the statistical randomness delivered by gravity (1/4 pi).

The Needle's random answer is forever the same ...it is all a geometric piece of pi. Pi is the algebra of the entire field. One half pi, factored by two directions, holds the geometry of the field. Relative 1/4 pi is the algebraic unit of measure. Relative 1/6 pi is the geometric reward for using "action at a distance."

The evidence now points to pi as gravity's language of randomness. In the use of "action at a distance," the geometric relationships between random gaming outcomes in a series tends to duplicate the geometric relationships between the digits of (still using "action at a distance) relative 1/4 pi and 1/6 pi ...complete with a precise .16666 flat bet advantage.

Boskovic just did it. He made his calculations using "action at a distance" and its geometric finesse. The mathematical consequences are that the algebra of the geometrical result is correct ...but does not make sense under traditional random theory.

The only geometry that makes sense is the relative geometry within pi. That shift in relativity (from 1/4 pi to 1/6 pi) is what Albert Einstein called "spooky."

In the early 1770's, Boskovic unexpectedly appeared on the Academy scene. He was previously a Corresponding Member. The King insisted Boskovic be given senior member status. Some historians have ascribed the subsequent abusive treatment by Laplace to a sense of resentment by certain Academy members over Boskovic's unusual rise to senior status. The truth of the attack on Boskovic goes considerably deeper.

To the chagrin of the Academy officers, Boskovic was already successfully using "action at a distance." He was doing what they wanted to do with Laplace as a front ...study "action at a distance" (without calling it "action at a distance" ((and without bringing up the original Needle))). The only difference was that Boskovic wasn't concealing his methodology. He wasn't advertising "action at a distance" ...he was just doing it.

The problem for Boskovic was that he was perhaps the world's most prominent priest. He could not afford to be seen as admitting there was any advantage to using "action at a distance." In this respect, he and Buffon (his nemesis) and therefore, Laplace, were in the same boat. When accused, Boskovic had to slightly admit that, yes, his methodology was "action at a distance" but there was no advantage. It was simply a different way of measuring something.

...And there Boskovic was had.

Laplace claimed his 90 degrees of arc, as a universal average, was more accurate than Boskovic's "somewhere in a precisely identified piece of .08333 of the comet's orbit, relative to the orbit's semi-circle." If there was no flat bet advantage --if Boskovic could not admit an advantage-- the statement (continuing the example with a roulette wheel) "1/38" (or 1/4 C or 90 degrees of arc as Laplace argued) is obviously more accurate than "somewhere in .16666 (or .08333) of the field or circle or game."

Since Boskovic couldn't admit the truth of a flat bet advantage, he appeared to most observers to somehow "lose" the "debate." A reviewing committee of the Academy was completely loaded in Laplace's favor. This is not surprising since the committee would be formed by Condorcet. It concluded that Laplace was "technically" correct. The committee apparently made no mention of the alternative values of the geometric probabilities of Boskovic.

From that point forward, the Academy was in a bind in attempting to surreptitiously continue on the path they started with Laplace years earlier. He had been mentored since 1770, and brought aboard the Academy in 1773. The intent of Buffon and Condorcet was to quietly use Laplace as a front for their research in calculus and probability and "action at a distance." In that work, it would be an absolute condition that, since Buffon's work was banned by the church, Buffon would never be embarrassed by Laplace mentioning his agreement with Condorcet and/or Buffon, or mention the Needle.

Using the Needle was critical. Its calculus opened the door to randomness. Concealing the use of the Needle was critical. The issue was that the original Needle always delivers a conclusion that everything random is relative pi. More, that the universal random unit of measure is 1/4 pi. Further, a close study of the original Needle inevitably leads to "action at a distance" ...and a flat bet advantage in which what is perceived as 1/4 pi is eerily changed into 1/6 pi. This is what spooked Einstein. If the Roman Catholic Church was pulling its hair and turning grey over Buffon's theory of evolution, one can only imagine the institution's reaction to mathematical proof that, relative to the randomness of gravity, we and our senses and perceptions ...are just relative pi.

After the debate --in which they had embarrassed Boskovic and trashed his work-- the men behind Laplace (led by the two Permanent officers of the Academy) would severely embarrass themselves, and the Academy, if they continued their search for "action at a distance," however covertly and were discovered, So too, they would be embarrassed if the truth of the Boskovic debate was ever aired. That would embarrass the Academy and the King and could lead to severe political consequences with the Vatican. This is to say nothing of the reaction of America and Ben Franklin. The Academy's search for "action at a distance" was put on the back burner, at least temporarily.

The Laplace/Boskovic debate was a sham. After a year and a half, Boskovic left the country. On those grounds alone, Laplace was also allowed to be perceived as somehow "winning" in the eyes of the public. However, in the eyes of many knowledgeable observers, Laplace had embarrassed himself and the Academy. To those in the know, Laplace had been sacrificed. The attack on "action at a distance" for political reasons effectively buried their own covert academic search for some mathematical truth that would allow them to calculate around "action at a distance."

On the heels of the Boskovic debate came the Academy's infamous confrontation with Jean Paul Marat. Laplace again fronted for the Academy ...and seriously embarrassed the Academy again. Laplace was then quietly but effectively put out to pasture. The Academy was embarrassed further yet in Jacques Brissot's book, published in 1784 (discussed below). Brissot surely knew nothing of the Academy leadership's agreement with Laplace. He also would have known nothing of the Academy's reasons for siccing Laplace on Boskovic ...and then on Marat. Nevertheless, in his book, "De La Verite," Brissot condemned the Academy for embracing the shallow science of Laplace and allowing and supporting such tactics and attitude that Laplace was practicing.

In 1784, after begging for it, Laplace was given the position of Chief Examiner of Artillery. It was another first for France and Laplace. Laplace had apparently been the first commoner to teach at the Ecole Millitaire. Now he was the first commoner to be Chief Examiner of Artillery. As Chief Examiner, his first student was another first ...the first commoner student. Laplace most carefully mentored that student. Not only in his cadet days, but throughout his military career. Indeed, a chain of evidence points to this young man's meteoric rise in rank during the French Revolution as due, through Robespierre, to his (and Robespierre's) mentor, Simon Laplace. That commoner cadet was Napoleon Bonaparte.

When the French Revolution arose, Laplace appears to have quietly mentored Robespierre by giving him mathematical reasons for the extreme measures Robespierre took. It allowed Robespierre to justify his actions before the Jacobins and the Assembly. Those mathematical reasons allowed Robespierre to justify and direct the Terror.

Laplace had learned his lessons well from his surreptitious mentoring by Condorcet and Buffon. With Robespierre as his own front man, Laplace quietly ensured that his protege, Bonaparte, rose from lieutenant to general in just over a year.

Simultaneously, Laplace apparently also mentored Joseph Fouche, a grade school mathematics teacher. Fouche, became the all powerful Superintendent of Police. As such, he wielded powerful controlling influence with the Committee of General Security. Fouche is considered the father of the modern police state. Fouche would greatly assist Laplace in collecting, delivering and destroying documents that would incriminate or embarrass Laplace.

By all the evidence and appearances discussed herein, Laplace convinced Robespierre to slaughter the "Girondin's" and specific others, including his own Academy mentors. Laplace's apparent motive's were to conceal the true history and circumstance of his involvement with the Academy and the Needle.

It is against this background that Laplace propagated the greatest fraud in history. He had Napoleon make him Minister of the Interior so that Laplace could grab control of France's system of education. Within six weeks, he convinced the Senate to form a separate division of Education, with Laplace having a permanent seat. Laplace then used his new authority to promote the argument he used in the Boskovic debate ...that "action at a distance" was useless. He didn't allow open discussion on "action at a distance." He simply used the country's education system, backed By Napoleon and Fouche, to tightly weld his conclusion that Boskovic was wrong and the geometric probability of "action at a distance" useless.

However, academically, Boskovic was not wrong. Academically, Laplace was wrong. With arguments being thrown back and forth with vectors and angles and probabilities and fractions ...who would understand what they were talking about?

Just on appearances alone, to the uninitiated public, it looked like Boskovic may have lost the "debate" since he finally left the country. That left Laplace the apparent "winner" by default.

Boskovic is recognized as the father of atomic theory. His methodology of "action at a distance" is the methodology of Quantum Mechanics and Bell's Theorem.

As for the Needle, its residual power is such that, even after being warped by Laplace, it was critically used in determining the geometric probabilities of random neutron collision when physicists built the first atomic reactor. They had to randomly toss nails on a grid floor.

REWRITING HISTORY

Here is an entirely new history of gaming ...and the French Revolution. It is the result of thousands of research hours into the treatment of pi through the French Revolution. The conclusion is that a flat bet advantage, using "action at a distance," and expressed in the geometric relationships between relative 1/4 pi and 1/6 pi, was almost certainly known to the leaders of the Paris Academy of Sciences between 1776 and 1770, if not (and probably) earlier.

The organized concept first comes with Newton's theory of "action at a distance" to predict the orbits of comets. The problem for 18th century scientists was that the Roman Catholic Church banned Newton's books and suppressed the concept.

The evidence, at least to a point of probable cause, points to Buffon and Condorcet as quietly mentoring Laplace into the Academy over the years, 1770 to 1773. Their intent was to use him as a front for their work with the geometric probability of the Needle. All Laplace had to do was have a sufficient understanding of calculus to rewrite their work as though it was his. Their interests were to use the Needle --without mention of the Needle-- to find a way around "action at a distance" ...without mention of "action at a distance."

Buffon died of natural causes in 1788. The papers in his estate passed to his son. The evidence now points to Laplace as mentoring Robespierre to pass absurd laws and initiate the Terror by slaughtering the "Girondins." Laplace's intent was to use the system to judicially kill Condorcet ...and Buffon's son ...and Bailly ...and Lavoisier ...and Brissot ....and obtain their papers. In modern criminal law this would be judicial murder. An argument may also be made with probable cause that Laplace would stand trial for mass murder.

Laplace's intent was to kill those in the know regarding the truth of the Needle and his entry into the Academy and the truth of the Boskovic "debate" ...that the "greatest mathematician in France" was a fraudulent concoction by Jean Condorcet at the behest of Georges Buffon.

In 1770, Buffon was Permanent Treasurer of the Academy. Condorcet was assistant to the ailing Permanent Secretary. The position of Permanent Secretary of the Paris Academy of Sciences was the most powerful in the Academy, and perhaps the most influential in the entire world of science. Condorcet was young but ambitious. He knew he was first in line for Temporary or Interim Permanent Secretary. He knew that time may come soon upon the death of the man to whom he was assistant and, in good part, replacing. Condorcet knew if he played his cards right, he would also be first in line for Permanent Secretary. The Marquis Condorcet, assistant to the Permanent Secretary, would almost surely have bent over backwards to have the endorsement of Comte Buffon, the Permanent Treasurer.

Condorcet and Laplace were childhood acquaintances. Did Buffon indicate to Condorcet, that they needed someone to supplement or replace D'Alembert, the brilliant atheist mathematician who did not conceal his lack of faith? Did Buffon suggest that perhaps they could find someone who was willing to quietly cross the Church's sanctions without, unlike D'Alembert, broadcasting his lack of faith and thereby attracting attention?

Did Condorcet respond that he knew just the man?

Here is what they faced and what was at stake.

Buffon's original Needle was the first random proof of pi. It proved every random gaming series was a game of pi. It proved every random event in a series had an average value of relative 1/4 pi, relative to the field or "game's" diameter. It proved relative 1/4 pi was the universal random average.

When its simple formula is extended with "action at a distance," the original Needle delivers the .16666 advantage as the algebra of relative 1/4 pi is changed to the geometry (and therefore algebra) of 1/6 pi.

Pi, and the .16666 advantage, is gravity's random expression of itself. Gravity's language is found in the relative  geometric relationships of the geometric divisions of pi.

Relative to randomness, every series of random events is a geometric statement of relative pi in the first instance of randomness. The "game" is a secondary sideshow. The "game" is just a perception. Pi is just a mathematical average. A mathematical average is just a perception as well.

Action at a distance succeeds because it uses the three pole structure of the basic geometric finesse. This matches the three pole geometric structure of the prediction or bet to the three pole geometric structure of that which is being predicted or bet.

Since the decimal system (100 parts of ten parts each) is used to describe pi, the .16666 advantage is precisely found by using "action at a distance" over three serial pi-angles in the first 100 relative digits of pi's geometric divisions (see Proof of String Theory elsewhere in this site).

By extending the original Needle with "action at a distance," every random gaming series tends to duplicate the same relativity, and precise .16666 flat bet advantage, as the respective relative digits of pi's geometric divisions.

The .16666 flat bet advantage is most clearly demonstrated with roulette, using only trials with a dealer's random release of the ball. Such statistics are rare. The only two known reliable examples of roulette with a dealer's random release are published in this website. If a dealer releases the ball with anything other than a random release, such as a regulated release as is common in Europe and Asia or a release by quadrants as is often used in America, or a release by dealer's selection ...the game is no longer geometrically random. The regulated and quadrant releases become game's of pi ...just variations on the original Needle.

With a regulated release, as well with a release by quadrants (a variation of the regulated release) a flat bet advantage of .08333 may also be found at a diameter base, with a deeper finesse. The insertion of "game factors" (beyond roulette with a dealer's random release) presents quite different, but geometrically precise, variations. All are variations and extensions of the same basic principles behind the original Needle and "action at a distance." This is discussed within and a subject in the Cracking Pi Forum.

The original Needle proved that, relative to the randomness of gravity, every "game" is just a perception. The original Needle gives a mathematical value to perception: relative to randomness, philosophically and statistically ...we, and our perceptions, are the pi.

Laplace was a marginally competent mathematician with a general basic grasp of calculus. Buffon and Condorcet apparently brought him into the Academy to be a front for their work with matters that were banned by the Roman Catholic Church. The Academy scheme backfired in the French Revolution when, by all appearances, Laplace had his mentors murdered ...judicially or otherwise. In back room maneuvers, Laplace in turn mentored Napoleon and Robespierre and Fouche. Laplace apparently kept the geometric secrets for himself. If the circumstantial truth of the Academy's connection with geometric probability had been exposed, Laplace would have been simultaneously exposed as a fraud.

Laplace was not promoted into the Academy by Condorcet (and therefore Buffon) because of his mathematical abilities. In Paris, mathematicians were relatively common, while a commoner who understood mathematics was relatively rare. Laplace was a commoner who understood mathematics. His uncle had taught mathematics at the Benedictine school where Laplace was a day student. His uncle died when Laplace was eleven. Later, Laplace was disillusioned with his university studies and left after two years. He had necessarily entered as a cleric since he could not afford otherwise. After leaving the university, Laplace apparently knocked around for two years with pick up jobs teaching mathematics.

To Buffon and Condorcet, Laplace stood out for his willingness to engage in the Academic subterfuge. Since he was a commoner, and the offer to Laplace included a teaching position at the Military Academy that was traditionally reserved for the nobility, it was suggested that Laplace dress as a cleric in order to have credibility. It is worth noting that this may be the root of Napoleon's famous tease to Laplace regarding no mention of God in Laplace's book (Laplace's response: "I have no need of such").

By his own efforts; assisted by Fouche, Robespierre and Napoleon; Laplace had complete control over the papers and archives of the Paris Academy of Sciences, the Institute of France, the Ecole Normale, the Ecole Polytechnique and the Military Academy. As well, virtually all other schools and institutions in the country. He controlled the curriculum and the staff. Under his authority, the original Buffon Needle Problem and "action at a distance" were not part of public education. They were virtually erased from history.

Laplace had access to virtually any and every paper or document in France. His particular interests were the papers of those Academy leaders who were in the know regarding the circumstances of Laplace's entry and membership into the Academy and the odorous Boskovic "debate."

As each of the Academy leaders were murdered or guillotined, Laplace's agent's immediately confiscated their papers and delivered them up to him.

In 1810, the pope was kidnapped and Fouche had the Vatican's secret files transported to Paris. While Napoleon has been held responsible, history has documented that Napoleon knew nothing about it at the time and was extremely annoyed ...but did nothing. The orders were executed by one of Napoleon's generals, but the order itself came from Joseph Fouche. He is said to be the only man in France whom Napoleon feared.

Fouche was a self proclaimed atheist with little interest in Vatican secret files for their own sake. If he wanted plunder, such as the boxes that held them, he didn't need the Latin paperwork. Nevertheless, he ordered the papers brought to Paris. There, before being returned, many papers were burned because they were "too heavy to transport back."

However, Laplace had a profound interest in such files. Among other reports concerning "action at a distance," there would be reports on Buffon and the Needle as well as reports by Rudjer Boskovic, and others, on the great "debate" of 1776. History may never know which Vatican files were burned in Paris, but it is not hard to conjecture at least one reason that fits this history.

Laplace succeeded in virtually eliminating both "action at a distance" and the original Needle from history. He also fundamentally changed and eliminated the original Needle's gravitational nature and replaced it with his own version which does not so readily invite "action at a distance." The original Needle did not generally appear again until 1977 (Geometrical Probability and Biological Structures, Buffon's 200th anniversary: proceedings of the Buffon Bicentenary Symposium on Geometrical Probability, Image Analysis, Mathematical Stereology, and Their Relevance to the Determination of Biological Structures). Even at the symposium, the original Needle was only dealt with minimally. The focus was still on Laplace's version.

Action at a distance was partially recovered in the theory of Quantum Mechanics.

The original Needle and "action at a distance" are both recovered in Cracking Pi.

The gravity bet is a unification of the original Buffon Needle Problem and the methodology of “action at a distance.” This delivers simple geometric probability, with relativity, and a flat bet advantage of .16666 over traditional random expectations ...all in a world of pi ...and table gaming.

A History of Pi in the 18th Century and the Foundation of Game Theory

This startling history of pi in the 18th century must start with perspective on the issues.

The only difficult concepts are: “relativity” and "action at a distance." They are fraternal twins. Action at a distance automatically delivers relativity. It is found in the resulting geometric probability from the methodology's geometric finesse.

Relativity is found with “action at a distance.” The proof of relativity comes through with statistical clarity when the geometric probability of the original Needle is extended with “action at a distance.” The proof of "action at a distance" also comes with the same statistical clarity from Quantum theory and the proof of Bell's Theorem.

The fundamental issue, both here and with the Quantum sciences, are the random statistical differencs obtained by the Quantum sciences (and the gravity bet) on one hand and traditional random theory on the other.

Traditional random theory is based on “quadrature.”

The term “quadrature” is used here as it was in its early frame of reference in celestial mechanics: an arc of ninety degrees. That is: 1/4 of a circle. That is: 1/4 C. This is the general sense of the term during the essential time frame of this book: the 18th century’s segue into 19th century modern education and science.

In what can only be described as an academic fraud of cataclysmic proportions, Laplace needed quadrature --and only quadrature-- to be taught at all levels of public education. To carry his point, every entering student at the Ecole Polytechnique was required to pass an entrance examination in fourth degree equations. That is: quadrature.

Throughout their studies, Laplace sat as head examiner.

Laplace’s motivation was to conceal the random geometric truth he knew about second and third degree equations. That truth included, respectively: the original Needle with its second degree equation which he was apparently covertly given in 1770, and effectively usurped during and after the Revolution and which he would plagiarize and warp in 1812 …and “action at a distance,” with its third degree equation which had backfired and embarrassed him in the infamous debate with Boskovic.

Laplace lost the debate to Boskovic, but no one in the public could see it since the parties couldn’t admit the truth. The mathematical complexities meant that only Boskovic and Laplace and Laplace’s backers and a handful of others could glimpse the geometric truth. Laplace claimed random game theory could predict the randomness of the universe. His argument mathematically backfired against Boskovic’s methodology of using “action at a distance” to predict the orbits of comets.

Here it must be noted again that Boskovic is also the father of atom theory. Just as Boskovic backfired Laplace’s traditional random theory, Quantum Mechanics and Bell’s Theorem backfired Einstein’s EPR and Einstein’s relativity theories. Let it also be noted here that Einstein's relativity theories are partly based on Laplace's theories of randomness.

Laplace used quadrature and traditional random theory and Monte Carlo methodology to challenge the randomness of Boksovic’s “action at a distance.” Laplace lost the debate.

Einstein used quadrature and traditional random theory and Monte Carlo methodology in his EPR to challenge the randomness of the Quantum science’s “action at a distance.”

With the proof of Bell's Theorem, Einstein’s EPR, along with Einstein’s relativity theories, lost the EPR challenge.

Einstein’s EPR argument lost …just as Laplace’s argument lost …on the same grounds …and for the same reasons …regarding the same issue of random mechanics …with the same results: they each lost to a flat bet advantage over traditional random theory: .08333 !

Laplace appeared to succeed only by the political circumstances he was in and by suppressing the original Needle which would have opened the door to the fraudulent truth of his circumstances.

Einstein's theories appeared to succeed because the original Needle is not used in Quantum theory.

Based on quadrature and the stolen work of others, history has accepted Laplace as (self dubbed) “France’s greatest mathematician.”

As well, Laplace is variously referred to as the “father” of probability theory or “father” of random game theory. In fact he was the father of nothing other than a massive fraud backed by murder and Terror and cemented in place by the deadly tyranny of his protege: Napoleon Bonaparte ...and kept in place by his protege Joseph Fouche, the father of the modern police state.

In the 16th and 17th centuries, theories of gravity threatened established doctrine in the Roman catholic Church. The work of Copernicus was banned. Giordano Bruno was burned at the stake. Galileo was placed under permanent house arrest. Newton's "action at a distance" was also banned by the Church: “actio in distans.” These matters intimately concern gravity. As does the original Needle.

The men persecuted by the Church were looking critically at the results of gravity (since gravity can’t be seen but only somehow measured) as if the results should match our perceptions. Even the church had to finally admit that, relative to our measurements, the sun was the apparent center of the solar system and the measurements matched our perceptions.

Action at a distance takes the examination of gravity to the next lower level. That level was successfully banned by the Church since the results did not match life’s perceptions by any standard measurement. Since such studies were banned, and religious persecution so wide spread and politically serious, few scientists were ready to try and prove otherwise.

Perhaps the real reason the church banned “action at a distance” was that, like the original Needle, it too leads to the ultimate mathematical conclusion that, relative to gravity and randomness, everything else is simply relative pi in rotation. Many would somehow consider that blasphemous.

To risk examining gravity with “action at a distance” would be to risk excommunication or worse in the 17th and 18 centuries. Who would try? Look what happened to Bruno and Gallileo and others who crossed the Church!

Action at a distance is surely the least known area of science. The term is variously used to describe a circumstance and relationship of gravity and distance …and/or the finesse methodology used to measure it …and/or the result. Although the subject has been occasionally discussed, it has no serious history of scientific evolution. This was true before the French Revolution when the Church controlled and suppressed the education of “action at a distance” by terror. This was true during and after the French Revolution when Simon Laplace controlled and suppressed the education of “action at a distance” by the Terror.

With Napoleon and Fouche to back him up, Laplace withheld "action at a distance" and the original Needle from the world’s emerging system of public education. Few people got in his way for fear of assassination (Gaspard Monge is an example).

From the Church’s standpoint, the term and subject of pi had to be kept foggy. Otherwise, people would know where to look. Perhaps it was feared they would find the ultimate point of the Needle (and "action at a distance"): mathematically, relative to randomness, everything else is just relative pi in rotation. Spooky!

Within the relative random geometry of pi, there is a precise, flat bet advantage over traditional random theory: .16666 .

The flat bet advantage is the mathematical difference between the algebra that results from using traditional random theory that is derived and proven by the Monte Carlo methodology from the warped Needle …and the geometric probability that results from using the methodology of “action at a distance” (or the “Monte Carlo Finesse”) with the original Needle.

The original Needle's length is the correct unit of random measurement. It comes naturally with every series of random measurements. However, it is only found if specifically looked for.

The flat bet .16666 advantage appears inherent in all series of random measurements, including roulette wheels, cards and random number generators or any other randomly measured game or field that is based on and uses Monte Carlo methodology. However, other than roulette with a dealer's random release, its geometry is modified by various non-random factors. In table games other than roulette with a dealer's random release the advantage is found by using “action at a distance” with a deeper finesse. Such statistics are still entirely within the world of pi.

Such relativity geometrically tends to appear as a relative pi-angle pole, along the straight line of gravity’s pull on a pi-angle, relative to a pi-angle base (or "diameter base").

That is: the relative pi-angle pole is simply the "other end" of a straight line (like North relative to South). With the gravity bet, it is predicted at the third trial in a series of three trials.

The diameter-base (or "pi-angle" base) is the first end of a randomly measured straight line. It is the first of three trials.

The flat bet .16666 advantage is not only precisely and predictably found in the geometric relationships between the relative geometric divisions of pi, it is also precisely and predictably found between the geometric relationships of the respective relative digits of pi’s respective relative geometric divisions!

In short: pi is not the by-product of a relationship. It is the language of gravity.

Gravity rules randomness. Mathematically, it does so through pi. Pi rules randomness through the relativity of the geometric probability of gravity's nature as a straight line pull. It does so with an inherent .16666 advantage over traditional random theory and life’s perceptions of a "game" as a circle!

The advantage is extracted from pi and game theory through “action at a distance.”

This only makes mathematical sense through the random framework of geometric probability that is delivered by the original Needle. Its random length is the universal random unit of measure: relative 1/4 pi.

The original Needle is geometrically incomplete. It randomly describes only two adjacent Cardinal poles (ex: South to West). That is: a quadrant of a circle or “game.” It is the average of two average random measurements. Here, it must be noted again that an average is just a mathematical perception.

In short, relative to gravity and the randomness that a table game seeks …the “game” is just a mathematical perception of averages.

The universal random average may also be understood as the length of a radius along a diameter or “pi-angle.” That is: two adjacent random poles on a diameter (i.e. South to Center of Rotation or the reverse ...or North to COR or the reverse).

However, relative to randomness, that requires factoring through 1/2 pi (discussed within) which can only be randomly reached with the geometric finesse within “action at a distance” and its three random measurements. This again only makes mathematical and geometric sense if the unit of measure is the original Needle’s length: relative 1/4 pi.

Otherwise, the radius of a field can be called anything, such as so many inches or microns of light years or pockets …but then it cannot mathematically find the random flat bet advantage.

Only relative 1/4 pi, as the universal random average unit of measurement, holds the mathematical key to relativity and geometric probability. It is only found and proven with "action at a distance." Uniquely, the statistical proof comes by transforming relative 1/4 pi into relative 1/6 pi and receiving a .16666 flat bet advantage in the exchange.

The true random identification of the radius of a field is what Laplace concealed.

If an experimenter arbitrarily identifies a radius, then it may be identified as anything: so many inches or light years or, most commonly, as a matter of mechanics: “1.”.

However, the original Needle deductively values the radius of a diameter or pi-angle as: 50 .

The original Needle also inferentially suggests that three random measurements with “action at a distance” will prove its radius as: ".50" …and do so with relativity …as well as a .16666 advantage.

The relativity comes only through making relative 1/4 pi relative to the pi-angle. As described herein that is only possible through relative 1/2 pi.

This unification is automatic with “action at a distance” over three random events. It paradoxically eliminates pi itself …to find the flat bet advantage in the relative geometry between pi’s geometric divisions. That is: between 1/6 pi and (experimenter’s choice of perspective) 1/4 pi or 1/2 pi.

This is the relativity that eluded Einstein. It eluded him because this is the relativity that Laplace buried for all of science and history. There is no history of education on the subject of the original Needle and/or “action at a distance” and or the geometric probability of relative 1/4 pi. Yet, in 1776, it was the subject of history's most notorious debate?!

In 1733, the original Needle first appeared. Its proof and deductions and inferences come with profound unspoken philosophical implications. That is: relative to gravity and randomness, we and our perceptions and measurements and games …are only relative pi in rotation!

This relativity comes with a geometric probability that is randomly and gravitationally different from traditional random expectations and game theory. Traditional random theory is based on the quadrature of Laplace. That quadrature was unfortunately embraced by Einstein.

This elusive relativity is the original Needle’s random price: a mental admission of the geometric probability of relative 1/4 pi …and all that it mathematically and philosophically leads to.

In three random measurements, “action at a distance” changes the expected 1/4 pi (or 1/2 pi or pi ((experimenter’s choice of perception since the results are the same))) into 1/6 pi. Spooky indeed!

The value of a random relative pi-angle pole as 1/6 pi is simply its geometric probability as the relative third pole (or “diameter” pole) divided by the algebraic possibility of two directions. That is: .33333 / 2 = .16666 .

That appears as all there is to relativity. First, relative to our perception is is the random value 1/4 C (the original Needle). Second, relative to randomness is the random value, relative 1/4 pi (the original Needle), relative to gravity. Third, relative to gravity, gravity has a value of "1." to which everything else, including pi is relative.

This is what Laplace knew and concealed. He apparently instigated the French Revolution’s Terror to keep it buried and his own questionable reputation intact.

The geometric probability of a relative pi-angle pole, factored by two directions, is also a percentage of the arc of the circle that comprises a “game.”

The "game" is a circle. That is: 360 degrees.That is: pi.

The universal random average is .25 of a circle. That is a Cardinal pole: 90 degrees. It is the length of the original Needle: 1/4 pi. This is an algebraic average. Mathematically, this is the random algebra of the "game."

A relative pi-angle pole is .16666 of a circle. That is: 60 degrees. That is: 1/6 pi. Mathematically, this is the geometric probability that gravity is randomly delivering.

Traditional random theory doesn’t recognize relative geometric probability. Traditional random theory always expects and pays off relative pi-angle poles (.16666 Circle) as though they were meaninglessly relative Cardinal poles with the traditional algebraic possibility (.25 Circle).

The original Needle requires two random measurements to deliver relative 1/4 pi.

The original Needle only requires the three random measurements of “action at a distance” to naturally deliver the expected 1/2 pi (or 1/4 pi or pi) …as, simultaneously and geometrically: 1/6 pi!

That is what spooked Einstein. That result goes entirely against traditional random expectations.

It must be noted that in his seminal paper of 1774, Laplace put forth the proposition that became the basis of his life’s work: that the randomness of science can be based on, or expressed and understood in terms of, traditional random game theory and its quadrature. That is: on the randomness of a circle. Since the original Needle proved a circle was only the algebra of perception, Laplace’s theories are also just a perception ...just so much algebra.

Gravity is geometrically pulling on a pi-angle or “diameter” in the first instance of randomness, not on a “circle.” This is regardless of the “shape” of the object or field or “game.” Boskovic theorized and proved the three “poles” of a diameter were points of geometric probability.

Relative to serial random measurements of a pi-angle, the circle or field or “game” is just random pi in rotation.

This introduces the original Needle’s price of pi. To date, no one has been willing to pay it. This includes Newton, Boskovic, Euler, Laplace, Einstein and Heisenberg.

In 1935, Einstein published his Einstein/Podolsky/Rosen Paradox (EPR). Einstein alleged that Quantum Mechanics could not be a complete description of physical reality. It is the reasons he gave that caused the EPR to backfire. First, Einstein asked a legitimate question: what and where is the rest of reality outside the geometric probability of the Quantum advantage: .08333 ?

Second, (in rough general terms) Einstein effectively alleged that Quantum Mechanics could not be a complete description of physical reality if it could not predict the time and place of a random particle (ex: time and place of a random roulette ball). Einstein argued "time" was a dimension that could not be bypassed.

While noting the paradoxically different meanings given to “time” by the parties, Quantum Mechanics essentially did exactly that with Bell’s Theorem in 1964. It theorized the prediction of time and place of a particle's random spin.The proof of Bell’s Theorem came in 1982.

The Quantum sciences paradoxically succeed by both using and eliminating time (the COR or pi) through the finesse methodology of “action at a distance.” That is: it uses time by taking it at the second trial, but eliminates the second trial with the geometric finesse inherent in "action at a distance."

The problem for Quantum science is that despite the fact it finds the grail of randomness, it still uses Monte Carlo methodology and its resulting quadrature to make the measurements ...but does so without the original Needle's universal random unit of measure: relative 1/4 pi.

Quantum science can demonstrate the flat bet advantage over quadrature and traditional random theory. However, by using the same unit of measure as quadrature and traditional random theory, they cannot mathematically explain their success in terms of quadrature and traditional random theory!

Under traditional random theory, it simply doesn’t make mathematical sense to predict the spin of anything relative to the randomness we perceive and know.

How did this come about?

The answer is that we only know randomness through our education ...and for the past two centuries, the world has had complete immersion in Laplacian random quadrature!

The subjects of the original Needle and “action at a distance” were, intentionally, never part of modern education since its inception in 1795. They have remained outside mainstream education ever since.

The gravity bet completes the fundamental Quantum response to Einstein’s EPR challenge. That is: the gravity bet uses the same methodology of “action at a distance” and, subject to "game" shapes and rules, finds the same precise flat bet advantage in the serial random measurements of, apparently, anything!

The .16666 advantage only succeeds by using the original Needle’s length of relative 1/4 pi as the unit of measure.

With the original Needle’s length of relative 1/4 pi as the unit of measure, “action at a distance” geometrically makes mathematical sense while predicting the spin of anything, including roulette, cards and the stock market! It succeeds by using "action at a distance" to turn the perception of relative 1/4 pi into the random gravitational reality of 1/6 pi.

This book celebrates victory over pi and randomness. Yet, this book and such triumph should never have been necessary. Sadly, these matters cannot be separated from their shocking history.

These new matters of pi now appear to have been secretly known to the officers and leaders of the Paris Academy of Sciences in 1770. They were also the fathers of modern science and education.

In 1793, at the start of the French Revolution’s Terror, five men remained alive of the original inner circle. One (Gaspard Monge) was under the personal protection of Napoleon. At the root of the Terror, from the shadows, three of the remainder were specifically targeted for the guillotine. Their deaths, and three others, came through trumped up political charges …yet each had a unique connection to Simon Laplace. They were apparently killed for that. The French Revolution's "Terror" now appears as an artifice to conceal these murders.

Historically, the origins of the Terror appear to come from Maximilian Robespierre. The evidence now points to a power behind him. The Law of Suspects was supposed to be targeting the “Girondins.” Instead, there now appears a secret intent behind the law: the killing of six targeted men. Five were directly connected to Laplace. The sixth (Duc D'Orleans) was a powerful protector of Buffon's son (Buffonet) who was one of the five especially targeted men. To avoid being conspicuous, the Law of Suspects was to appear directed to a loose political group of approximately two dozen men known as the “Girondins.” When several Girondins initially escaped, including some of those particularly targeted, the Terror’s laws were increasingly broadened to rope them in. The wide scope of the Terror was the result of matters unexpectedly escalating out of control.

Biographers have recognized Robespierre’s weak character and personality. He was a lawyer whose only apparent attribute was an ability to speak calmly and appear rational when he was preaching to the choir and knew he had supporters behind him. In that time of turmoil, Robespierre tried to appear as the voice of reason as he argued for the expulsion and execution of the Girondins for the good of the country. There came a point in time when Robespierre was finally listened to. However, it was not from his questionable oratory. He succeeded in the National Convention, because he had the National Guard supporting him with pointed artillery and a one hour deadline.

Robespierre lived by conspiracies. His closest confidant was Georges Couthon.

Couthon, who would become President of the National Convention, accurately proclaimed the French Revolution was a Revolution of conspiracies.

Couthon claimed to hold mathematical proof to justify his call to execute the Girondins. Further, he is attributed as the author of the infamous Law of Prairial, wherein people could be arrested simply by claim of suspicion and the victim was denied not only a right to counsel but was not allowed to speak in defense. It was this law that led to execution of Georges Buffon's son ...and the seizure of George Buffon's personal papers ...which now appears to be the ultimate point of the Terror in the first place.

Who first came up with the ideas for such laws? Robespierre? Couthon? Napoleon?

The evidence now points to a shrouded mastermind in the shadows behind them all. That man appears to be Simon Laplace.

Napoleon was more than sympathetic and supportive to Robespierre and his cause. It is almost inconceivable that the Jacobins would allow transfer and control of the Paris National Guard and 160 pieces of artillery to Francoise Hanriot (1759 – 1794) without Napoleon’s advice and consent …and Napoleon would not do so without Laplace’s advice and consent, especially since Napoleon needed Laplace to defend him to the National Convention. Since Robespierre had no experience with artillery …and since Hanriot was little more than a half trained street thug …and since Napoleon would be off fighting wars, it is a near certainty that Hanriot and the artillery would remain, through Robespierre, under Laplace’s direction and control.

Laplace was Napoleon’s instructor at military school as well as France’s Chief Examiner of Artillery. Laplace demonstrated unprecedented favoritism for Napoleon and is undoubtedly responsible for Napoleon’s quick career advancement during the Revolution. Laplace had much to offer a conspiracy between himself and Napoleon and Robespierre. This included another phony probability analysis that used social statistics to allegedly prove that, mathematically, if the Girondin’s and a few others were indeed executed, the country would probably be saved from the internal strife that was eating up the Revolution. Napoleon and Robespierre bought it.

The people charged under the new laws included Jean Condorcet, Antoine Lavoisier and Jean Sylvan Bailly. By default, their deaths would leave Laplace to lead the Paris Academy of Sciences or its replacement. Charged as well, were George Buffon's son and his protector, the Duc d'Orleans. As well, Jacques Brissot who was a perceptive journalist who had already published a book that demonstrated his ready willingness and ability to expose Laplace as a fraud.

In their conspiracy, Laplace could bring the political support and credibility of the scientific/academic community (or what was left of it) to whatever table he chose to sit. It was enough to give him credibility as puppet master.

An apparent tactic by Laplace was to have both Antoine Lavoisier and he, Laplace himself, removed from a prominent committee. As well, briefly, from position as Chief Examiner of Artillery for the Army (but not for the Navy and not for long ((noting Hanriot’s fighting experience was under Admiral Lafayette))). In this way, Laplace could look like a neutral, innocent academic victim.

It must be noted that Napoleon was later disciplined and almost guillotined for his close ties and support to the Jacobins.

Historians have generally presented Laplace as appearing to support the Jacobins for political convenience only and from the general safety of academic sidelines. However, with a closer look, he had far deeper involvement. The Paris Commune was controlled by the Jacobins, Montagnards and Committee of Public Safety. Each was led or controlled by Robespierre and his followers, including Couthon. At the urging of the Jacobins, the Paris commune voted to place the National Guard and its artillery in the hands of Hanriot who promptly presented the National Convention with a list of people to be expelled and executed: the Girondins!

Two days later, Hanriot surrounded the Convention with aimed artillery and demanded the Girondins be expelled and executed. While Hanriot may have had a list in one hand and the firing lanyards in the other, it is almost inconceivable that Hanriot was not under the control of Laplace, with Napoleon ready to back him up from afar if need be. For the reasons herein, it is clearly possible, if not probable, that Laplace also prepared or dictated Hanriot’s list of Girondins.

Laplace’s deep involvement in the Terror is supported by Couthon’s justifying words to the Jacobins concerning mathematical proof of a conspiracy between Charlotte Corday and the Girondins. This critical piece of evidence as to the instigation of the Terror appears to have come from Laplace ...and Couthon appears to have let that cat out of the bag! This evidence has been generally ignored by historians.

In his career, Laplace contributed nothing original. He merely organized the works of others and appears to have committed the most colossal fraud in history. The random geometric proof of pi, and its inherent random flat bet advantage, shatters the traditional random theory of which Laplace has been called the “father” …and he knew it.

The random flat bet advantage may be easily and mathematically proven by anyone with cards or a random number generator or roulette or dice.

Gaming is merely an illustration of the geometric phenomenon. The value of converting random data into the geometric divisions of pi and extracting the flat bet .16666 advantage will inevitably prove itself in far more significant matters than gaming. Ready examples would be the stock market and actuarial tables.

The same flat-bet advantage, or its geometric derivative, is apparently found in all series of random measurements including everything measured with Monte Carlo methodology. This includes the stock market and insurance and gaming industries. Other random matters that have been lightly but successfully tested range from geology to psychology.

The next step into broader applications requires sophistication beyond this book. Inevitably –and soon– anyone may predict the relative geometric probability or “randomness” of virtually anything that was previously perceived as “random.” This includes one’s personal future from health to love. The “randomness” of politics or terrorism also becomes exposed to the same geometric probabilities.

Most Wall Street professionals and serious gamesters are well familiar with Monte Carlo methodology, but not (at least until this study) familiar with its origins in the Needle. Such Monte Carlo users would not likely be familiar the original Needle and what made its original methodology of serial random measurements unique from its warp in 1812 …from which modern “Monte Carlo methodology” disastrously evolved.

Predictably, soon after this publication, any gamester or banking institution that doesn’t catch on quick will be a proverbial clay pigeon!

There is a price to pay. The original Needle forever comes with the same moral tag. It requires a psychological jump to the random gravitational truth: relative to randomness itself, everything else …including the experiment and/or the game …including the experimenter and/or player and/or observer, including their perceptions …including the unit of measure and the “odds” …including the statistical results …including “winning” and/or “losing” …including any belief in such perceptions or results …is all just relative pi in rotation!

Relative to anything other than randomness, everything we perceive as “random” suits our perception and measurements and statistical results. For example, relative to the “game” or the “odds” or the players or the stakes or to lunch or shopping or work or politics …everything is as we know and perceive and measure it to be.

However, relative to randomness and gravity’s pull on the diameter of a randomly measured field or "game"…everything else is just relative pi in rotation.

Relative to randomness and gravity, the algebra of pi appears relative but algebraically meaningless. Pi’s random geometric truth as the middle of three gravitational poles on a pi-angle …instead of as the ratio between a diameter and a circle …is deductively and inferentially found by using “action at a distance” to paradoxically eliminate pi from being measured.

The results deductively and statistically prove pi to be the COR of a randomly measured straight line field in the first instance.

The geometric truth of the flat bet advantage is in the default geometric relationships between relative 1/6 pi and either 1/4 pi or 1/2 pi. As well, any other way a relative pi angle pole can be randomly and statistically compared with its appearance as a Cardinal pole relative to a pi-angle base or diameter base.

Pi itself appears to forever remain as the COR …and to forever be eliminated with the geometric finesse of “action at a distance.”

The original Needle introduced three levels of relativity: 1) relative to gravity 2) relative to pi 3) relative to perception. Every random event simultaneously contains the geometric probability of all three.

Traditional random theory, and the Needle’s warp in 1812, only recognize the third: relative to perception.

Perception doesn’t need or recognize relativity. One fourth of a circle is a quadrant. This is the original Needle’s random proof of perception. A quadrant, or “1/4 C,” does not need to be “relative” to anything. Its possibilities are already part of the circle in which it appears: 1/4 C = 1/4 = 3 to 1.

By the proof of the original Needle, only relative 1/4 pi has random gravitational meaning as a statement of relative geometric probability.

With “action at a distance,” every stream of random gaming outcomes tends to duplicate the geometric relationships between the relative digits of 1/4 pi …and the relative digits of 1/6 pi that are randomly found with the original Needle when it is extended with “action at a distance.”

The same advantage is also found between the relative digits of relative 1/4 pi and 1/2 pi.

When the process of “action at a distance” is repeated 100 times through the relative digits of pi, in order to define pi through the medium of “percentage” (that is: per 100) …the .16666 flat-bet advantage appears again (see: Deconstructing Pi).

By using “action at a distance,” the geometric relationship between one random gaming trial (roulette with a random release) and its relative pi-angle pole at the third trial, tends to precisely duplicate the geometric relationship between one relative digit of one of pi’s geometric components as a pi-angle base, and the precise relative digit in another of pi’s relative geometric components as a relative pi-angle pole.

Over the complete structure of the concept of “percent” and “pi-angle” --that is: 100 relative measurements of three parts each-- this structural point of geometric probability, and the decimal system used to describe it, all precisely converge at the predictable 100th relative digit between the geometric divisions of pi! There, the predicted .16666 flat-bet advantage inevitably and predictably appears with the precision of relative geometric probability.

The flat bet advantage of .16666 in table gaming is simply the .16666 flat-bet advantage found in the geometric probability of pi’s geometric divisions. As well, it is found in the relative digits of pi’s geometric components! This is so because every random table game is a game of pi in the first instance of randomness! This was the random proof of the original Needle in 1733!

The flat-bet advantage of .16666 is fished out of pi with “action at a distance.”

This is what has been withheld from public education for the past two centuries.

The extraction is easy with the regularity of a fixed axis like roulette.

It is also easy to extract from cards. However, two extra finesse steps appear best since, as discussed herein, a rotating suit of shuffled cards lacks a fixed axis. As well, the point of geometric probability shifts with the number of suits and decks. Only the point of quadrature changes with the "non-replacement" of cards. Geometric probability cannot be altered.

The advantage is also easy to extract with random number generators and the stock market. Other random matters require sophisticated Bayesian adjustments beyond this book.

The statistical proof of these matters is established from over eighty thousand published roulette trials that were tested with well over half a million individual predictions or “bets.”

As well, with tens of thousands of card trials.

These matters are simple. They concern perception in the first instance, not mathematics.

The mathematical difference between perception and gravity concerns the random value: “1.”.

The mathematical appearance of pi as either algebraic or geometric will follow the random value of “1.” as it is algebraic or geometric.

In the first instance of randomness, the “mathematics” of all random measurements, including “gaming,” rests entirely on the starting nature of: “1.”.

To what does “1.” refer?

The geometric answer to this question holds the key to the grail of randomness.

Random quadrature establishes traditional random theory. It is based on a series of algebraic averages from the original Needle as 1/4 C. Since mathematical averages are just a perception, random quadrature is algebraic in nature. Quadrature and traditional random theory are based on a mathematical perception of averages. Monte Carlo methodology delivers random quadrature which delivers traditional random theory. All are algebraic in nature. Life’s perceptions and algebraic calculations naturally and statistically arise from Monte Carlo methodology.

Is “1.” to be assigned as the algebraic value of a field or circle or game’s radius …as is the general basis of random quadrature and Monte Carlo methodology and traditional random theory?

Or, is “1.” to be assigned as the geometric value of a pi-angle (“diameter”) …in which the radius is deductively valued as precisely: .50 …as in the deductive random proof of the original Needle?

The basis of “action at a distance” is geometric. It is an extension of the original Needle. Action at a distance is a “piggyback”/”leap frog” methodology. It sits atop Monte Carlo. It uses its inherent geometric finesse to effectively eliminate the algebraic possibilities of life’s perceptions and algebraic calculations from random geometric consideration. Those algebraic possibilities are geometrically found as pi in the COR of a pi-angle.

The basis of the original Needle is both algebraic as 1/4 C …and geometric as relative 1/4 pi. This is one end of the bridge between the randomness of life’s algebraic perceptions and the randomness of geometric probability delivered by gravity.

One end of the bridge is 1/4 pi.

The bridge is 1/2 pi.

The far end of the bridge is 1/6 pi.

Action at a distance brings geometric probability to life by turning the algebra of a series of averages of relative 1/4 pi each into the geometric reality of 1/2 pi and, simultaneously, 1/6 pi, over three (or more) events. Spooky!

What is geometrically left after the finesse of “action at a distance” are the statistics of a straight line diameter structure of geometric probability that expresses gravity’s straight line pull along an object or field’s pi-angle. It is that simple!

Action at a distance changes the statistical “shape” of a series of random measurements. The change is from a circle (or “game”) to a straight line (or pi-angle).

Action at a distance changes a series of random measurements from the algebraic statistical appearance of a randomly measured game’s circumference or “circle” or “game” of four poles …to the geometric statistical probability of a randomly measured game or circle or object or field’s rotating straight line pi-angle or “diameter” of three poles.

The next mathematical question in the science of randomness must necessarily be the starting mathematical value of “1.” in a series of random measurements.Therein is Laplace’s fraud.

Traditional random theory is based on quadrature. It allows a radius to be valued with any unit of measure: microns or inches or meters or light years. This matches what we perceive. For scientific purposes, a randomly measured field or object or game’s radius is generally and commonly valued as: “1.”….

The original Needle geometrically proves the value of a randomly measured field or object or game’s radius to necessarily and inevitably be: .50 .

No further study of randomness can have credibility until the mathematical differences between the fundamental randomness of the algebra of quadrature on four poles …and the fundamental randomness of geometric probability on three poles …are clear. That clarity will determine the correct random starting value of: “1.”.

This is a matter of education. Therein resides the problem.

Jean Baptiste Biot (1774 – 1862) was a student of Laplace. In 1800, Laplace used his influence to have Biot named to the mathematics chair at the College of France. This quote of Biot from Laplace’s major scientific biographer reveals more than Laplace’s teaching style. It is a clue that reveals one of Laplace’s fundamental motivations. His major biographers have not pursued this in regard to Laplace’s need to cover up his usurpation of the Needle in the very mathematics he was teaching and upon which they are commenting.

“‘He looked after us so actively …that we did not have to think of it ourselves.’” (Gillispie, Charles Coulston; ed. Dictionary of Scientific Biography, Vol XV, Supp. I, Laplace. Scribner’s, 1990. p.347).

It was enough. Laplace’s fraud succeeded. Random quadrature spread throughout France and the world. It now rules the world’s science and commerce and gaming industries!

Laplace was called the “Newton of France” by his special protege, Simeon Denis Poisson. This man would rise to mathematical heights only through Laplace’s political pull. However, Laplace appears to have been the Newton of little more than a fig in Poisson’s diet of good Parisian life. Poisson’s judgment must be questioned beyond simply being a mirror-image of Laplace. Poisson is frequently cited as exclaiming: “Life is good for only two things, discovering mathematics and teaching mathematics.” It is historically significant that Poisson and Biot and Laplace’s other followers, reportedly enjoyed Paris’ restaurants and salons under Laplace’s generosity. It was perhaps Laplace’s major attraction for them.

Under Laplace and his followers, France led the world into modern science and our modern system of state run public education. That system and curriculum came complete with Laplace’s random quadrature ...and warp of pi and “1.”.

That curriculum also came completely without “action at a distance” or the original Needle or relativity or geometric probability or the random geometry of pi or the random value: “1.”!

Shockingly, Laplace’s twist on pi and randomness has generally remained unchanged and unchallenged for two centuries. The world’s academics and scientists and historians have responded like victims of a fraud who refuse to admit the truth.

How could this be? How did Laplace succeed so far and so profoundly?

Laplace is considered a political mathematician with ”a tendency to swing with the political pendulum’.’ (Grattan-Guinness, Ivan. Convolutions in French Mathematics, 1800 ‘ 1840. Birkhauser Verlag, 1990. p.110).

Grattan-Guinness does not associate Laplace’s political life with Laplace’s need to conceal his apparent academic misconduct between 1770 and 1776. Nor is Laplace’s need addressed as to the cover up of his apparent criminal conduct during the French Revolution.

Are simple politics enough to explain Laplace in the face of the obvious fact that most politicians, elected or appointed, have at least some degree of popularity?

“…few men have been so disliked either by their contemporaries or by their biographers.” (Foundations of Statistical Mechanics: Equilibrium Theory [citing David ((1965))] Grandy, Walter F., Jr. D Reidel, Dordrecht, Netherlands, 1987, Vol I, p. 33). In the face of Laplace’s lack of likability, Grandy doesn’t reconcile Laplace’s unusual political success with Laplace’s apparent hard core need to murderously conceal the truth of his deadly involvement in the very circumstances Grandy is critiquing.

Grattan-Guinness recognizes Laplace as the dominant force in physics and education in the formative years of modern science and education. In his discussion, Grattan-Guinness points to Laplace’s opportunism as gaining power and leadership in the Institute [Institute of France which replaced the Paris Academy of Sciences] in the Bureau of Longitudes, in the Paris Observatoire, in his appointment to the post of Minister of Interior under Napoleon, and his appointment as a permanent member of the Conseil de Perfectionement [from which he controlled the curriculum of the Ecole Polytechnique and France's education system in general]. Again, Grattan-Guinness does not discuss Laplace’s drive for political control as it regards Laplace’s need and intent to conceal his fraudulent academic conduct and the mass murders for which he and his legacy must now answer.

‘For if Napoleon could make himself Emperor Napoleon in December 1804, why could not his former Ministre de l’Interior now become the Napoleon of Science?’ (Grattan-Guinness, Ivan. Convolutions in French Mathematics, 1800 ‘ 1840. Birkhauser Verlag, 1990. p.441).

If Laplace was the Napoleon of science under Napoleon, then let Laplace also be recognized as the Napoleon of Terror. From 1793 onward, Laplace apparently succeeded by murder and Malfeasance of Office. These matters are not addressed by Grattan-Guiness. Yet, it must be recognized that murder and fraud appear at the very root of mathematics entering the 19th century …right down to the very misshaped bloodstained value of: “1.” on which modern mathematics is based and which Grattan-Guiness is analyzing.

Laplace did not succeed by academic merit. He contributed virtually nothing original. His only apparent original contribution with anything approaching substance is considered the “Laplace Transform.” It is the center piece of his life’s work. It is also the focal continuation of his fraud. It channels random linear measurements (the subject of this book) into Laplace’s stolen quadrature from the original Needle. It now appears he was handed the Transform at the outset of his integration into the Paris Academy of Sciences.

In short, it appears Laplace contributed absolutely nothing original. He only promoted quadrature. The books he authored were based on the stolen memoirs he seized from his murdered victims.

There is nothing wrong with quadrature per se. It matches life’s perceptions. However, that is all it does. What is missing is the simultaneous geometric truth of randomness …which Laplace concealed.

What is Laplace’s random quadrature worth without the random geometric truth?

Laplace worked hard to justify his (the original Needle’s) random quadrature. So too, Laplace’s biographers have worked hard to justify Laplace.

”it was the first full time study completely devoted to a new specialty, building out from old and often hackneyed problems into areas where quantification had been nonexistent or chimerical. Later commentators have also sometimes castigated the obscurity and lack of rigor in many passages of the analysis. Once again, it may be so.’ (Gillispie, Charles Coulston; ed. Dictionary of Scientific Biography, Vol XV, Supp. I, Laplace. Scribners, 1990. p.369).

Here again, Gillispie does not address the point that Laplace was attempting to apply his mediocre talents to a spectrum of advanced scientific possibilities by using his stolen quadrature of the Needle. Such work by Laplace appears as a desperate response to justify quadrature out of his embarrassment from 1776. As well, there appears no analysis of Laplace’s need to credibly justify himself (and the impossibility of doing so) after De La Verite appeared in 1782 (see HISTORY: START HERE PART 3).

In the 20th and 21st centuries, the empty nature of Laplace’s work has become more and more apparent.

Relative to life’s perceptions, the orbit of a comet, or anything else, may be described in quadrature. It is similar to graphing something on Cartesian co-ordinates. However, it does not address gravitational nature or what something may be relative to. In fact, geometric relativity is impossible to achieve with the algebra of quadrature. Rather, relative to the very geometric randomness being sought, random quadrature is just an incestuous way of measuring something using algebra to measure something that is just a perception of more algebra.

Laplace tried to make his stolen quadrature into something more. He tried to make the algebra of quadrature relative to the random geometry of what he called the “universal gravitational mean.”

Laplace’s problem began with the “universal gravitational mean” (by this or any other name) geometrically set in stone as the quadrature he usurped from the original Needle. The original Needle’s random proof of 1/4 C identifies a quadrant as the universal random gaming average (by this or any other name). This is the foundation of the random quadrature that Laplace used to promote himself. The original Needle was already the universal gravitational mean …and Laplace and his promoters knew it ...after all, they gave it to him.

The continuing problem for Laplace was that the original Needle also proves the quadrature of 1/4 C to be just so much algebra that is really the geometric probability of relative 1/4 pi.

Over three random measurements with “action at a distance,” the geometric probability of relative 1/4 pi becomes the relative geometry of 1/6 pi. That spooky gravitational switch delivers a flat-bet advantage of .16666 .

The mathematical advantage is the mathematical difference between perception and gravity. It shatters Laplacian random theory which is based on perception.

The geometric relativity in relative 1/4 pi, relative to a pi-angle of three poles, geometrically overwhelms the very algebraic foundation of its algebraic quadratic nature as one of four poles on a circle: 1/4 C.

The original Needle’s stolen quadrature is what Laplace built his reputation on.

Concealing the original Needle and his theft of it …and concealing the embarrassing geometric truth of relative 1/4 pi that repeatedly appeared as a spectre between 1776 and 1782 …is what Laplace apparently killed for.

It did not bury the problem however. The “random universal gravitational mean” is geometrically immutable. It is set forever at relative 1/4 pi, relative to circle or game or field’s pi-angle (or diameter). It is a statement of relative geometric probability with a tendency to form a mathematical average that is inevitable. Otherwise, the game is either not fair or the possibilities are not equal and require a Bayesian adjustment.

To avoid the universal gravitational geometry of the Needle, Laplace used algebra and the fractions of “analytical geometry” to try and come to the same point of geometric probability as the Needle. This is what he was brought into the Academy to do. However, his mathematics were no longer geometry reflecting the randomness of gravity. His mathematics were, inevitably, just the algebra of perception that reflected the algebra of a perceived “game.” His unit of measure was arbitrary. That is: anything other than the original Needle’s relative 1/4 pi.

This is why Laplace exerted repeated major efforts to have “descriptive geometry” removed or restricted in the first curricula of the Ecole Polytechnique. When descriptive geometry meets randomness, the door is opened to the geometric probability of the original Needle. That was just what Laplace needed everyone to duck. Descriptive geometry draws diagrams on paper and are easily seen. Laplace used analytic geometry which consists of fractions ...the convolutions of such could even leave Einstein scratching his head.

The problem for Laplace still didn’t go away. Algebra justifies nothing. It is just another measuring tool. Laplace tried to make his algebra look like it was reflecting his deep insight into the geometry of the universe. It worked for some students and observers, such as Biot and Poisson and the sycophants Laplace surround himself with. He successfully seduced them with introductions to the good life of Paris and sure promotion.

Laplace got away with his usurpation of the original Needle by using political power to keep the original Needle and its random proof of pi out of science and education. He disguised it with a convoluted curriculum of fractions and algebra.

“Laplace’s proofs are well stocked with dubious arguments and assumptions.”(Grattan-Guinness, Ivan. Convolutions in French Mathematics, 1800 ‘ 1840. Birkhauser Verlag, 1990. p.409).

Grattan-Guinness does not associate Laplace’s dubious arguments as being the result of Laplace’s need to cover up the geometric probability of the original Needle and his theft of its quadrature.

Gillispie’s observations appears to identify how Laplace managed this, but do not explore the reasons, such as Laplace’s need and efforts to conceal his theft and use of the original Needle and its geometric probability. “(It later became a distinctive characteristic of Laplace’s physics that the phenomena he analyzed should occur in the realm of the unobservable.)” [original parenthesis] (Gillispie, Charles Coulston; ed. Dictionary of Scientific Biography, Vol XV, Supp. I, Laplace. Scribner’s, 1990. p.288).

These were also the complaints by Brissot in his book that condemned Laplace, De La Verite.

“Laplace frequently indulged in the practice of specifying some peculiarity of the world in highly abstract terms in order to make it appear to follow from a general analysis.” (Gillispie, Charles Coulston; ed. Dictionary of Scientific Biography, Vol XV, Supp. I, Laplace. Scribner’s, 1990. p.296).

Here is an example of what Laplace’s quadrature is worth. “In fact, there is no ‘reasoning’ here at all. The whole paragraph is nothing but a bald assertion that the probability curve is a straight line, dressed up to resemble an argument.” (Langton, Stacy; reviewer. The MAA Online book review column: Pierre-Simon Laplace, 1749-1827: A Life In Exact Science by Charles Coulston Gillispie).

Langton doesn’t address Laplace’s probability curve as Laplace’s warp of pi. Others do.

The impact of Laplace’s deceit concerning pi continues, even into the web …even into the instincts of these stereology researchers. “Although already Newton felt that if an irregular body is thrown on his circle, the hitting probabilities could be found from an experiment and hence the hitting frequency must reflect some properties of interacting objects, almost nobody in XVIIIth and XIXth centuries proposed to reverse the problem, namely to obtain some information concerning the interacting objects from repeated hit or miss events. Instead of it, the mathematical description of object interaction was developed by P.- S. Laplace, G. Lam’, I. Todhunter, J. J. Sylvester and, in particular, by M. W. Crofton, whereas repeated experiments were carried out only in order to meet Laplace’s somewhat rash proposition to determine that way a more accurate value of pi.” (Saxi, Ivan, Magdalena Hyksova; abstract. ORIGINS OF GEOMETRIC PROBABILITY AND STEREOLOGY, 2009).

It must also be noted the excellent work of the stereology researchers in tracing Buffon’s inspiration for the Needle back to Newton’s involvement with a similar experiment in 1664. Here it must be noted that this time frame was co-incident with the distribution of Dulauren’s (see within) finesse from which Newton surely developed his "action at a distance" theory of predicting the orbits of comets. It is worth noting that it appears Leibniz (the finesse of his Arctan series) was influenced by Dulaurens.

Other than his questionable Transform, the only work Laplace did which appears near original was his reported assistance to Lavoisier in designing the ice calorimeter. Yet, the most extensive and meticulous studies of the French Revolution come from the Annales Historiques de la Revolution Francaise. In an article with a good discussion of the ice calorimeter and Lavoisier’s invention of it, there is not even mention of Laplace.

Laplace apparently was handed the original Needle’s point in 1770, forty years before he plagiarized and warped it in 1812. Academically, Laplace’s career successes came from usurping the works of many of the major scientists of his time. His practice was to make small changes to the work of others and present it as his own. The Needle is an example. Not unexpectedly, Laplace was repeatedly accused of usurpation and plagiarism.

“Apparently Laplace was not beyond occasional plagiarism and could readily reshape events to bring maximum credit to himself, merited or not.” (Grandy, Walter F., Foundations of Statistical Mechanics: Equilibrium Theory [citing David ((1965))] Jr. D Reidel, Dordrecht, Netherlands, 1987, Vol I, p. 33).

Grandy appears kind. Laplace’s plagiarism appears to extend far beyond “occasional.”

Hahn reports that when he was seeking admission, Laplace’s first paper to the Academy turned out to contain work taken from the very person, Charles Borda, who was assigned to the reviewing committee. Hahn does not relate Laplace’s seemingly extraordinary abilities in using calculus, with Laplace’s relationship with the original Needle, which was one of the first working applications of calculus.

“‘….It seems to us that M. Delaplace’s paper reveals more mathematical knowledge and more intelligence in the manipulation of the calculus than is ordinarily found at his age.’ The committee recommended publication, though Laplace was told to abbreviate the section that was not original.” (Hahn, Roger. Pierre Simon Laplace: 1749-1827: A Determined Scientist. Harvard, 2005. p.41).

In his career, Laplace succeeded academically by discrediting “action at a distance” and keeping it out of the public eye after 1776. He also succeeded academically through a series of notorious political power plays. He also apparently succeeded by Malfeasance of Office in both simultaneously emerging systems of modern education and science. His success also apparently came from murder and assasination.

As a result of Laplace’s success, relative to pi and the geometry of randomness itself, the world’s science and commerce industries, including the stock market and insurance and gaming industries, are missing two centuries of evolution.

More specifically, those very same industries could never have evolved as they have if the random geometric truth of pi and “action at a distance” and relativity and the resulting flat bet advantage had been revealed as they could have and should have in 1776! After all, that was the subject of the debate.

Perhaps no other leader of the French Revolution was more perfectly educated than Laplace to co-ordinate back room activity between politicians, businessmen and thugs. His childhood, with conflicting reports, perhaps helps to explain him as an apparent sociopath. His father, with whom he did not get along, was reportedly an innkeeper who also ran a saloon and/or was mayor of the city at the center of the Calvados district. This is where the world famous Calvados Brandy is made. Laplace’s father was also reportedly a dealer in the critical apple cider from which the brandy is distilled. Each distiller requires cider from a precise and complicated combination of varietal apples.

if the reports are accurate, Laplace grew up with multiple working perspectives on politics and business as well as life in a saloon where he surely witnessed the drunkenness, weakness and savagery that so frequently attends such circumstances. As well he may have been exposed to the serious cut throat side of the apple cider business wherein intermediate cider dealers like his father can advantageously play off distillers and farmers and their crops while appearing to remain neutral.

Laplace was also a day student at a nearby Benedictine school where his uncle taught mathematics. The Benedictines were noted for their discipline. The school was sponsored by the Duc d’Orleans for whom the students were required to pray several times a day.

Was Laplace tough enough to make these things happen? In Paris, from the age of 20 until he married, Laplace lived for eighteen years in a military school.

Albert Einstein was also a victim of Laplace’s fraud. By following Laplace and using quadrature, Einstein’s relativity theories were automatically made algebraically relative to life’s perceptions. The very quadrature Einstein was using made the geometric relativity that Einstein was searching for …mathematically impossible to find.

Like Einstein, the great modern physicist, Stephen Hawking, is also a victim of Laplace’s fraud. When relative 1/4 pi is substituted in as the universal random unit of measurement, gravity falls into place. This eludes Hawking since, like Einstein, he is following the algebra of perception.

“The only areas of physical science into which quantum mechanics has not yet been properly incorporated are gravity and the large scale structure of the universe.” (Hawking, Stephen W. A Brief History of Time. Bantum, 1988. p.56).

"Like any other scientific discovery... the real test is whether it makes predictions that agree with observation."(Hawking, Stephen W. A Brief History of Time. Bantum, 1988. p.136).

If Laplace was the greatest disaster in the history of science and education and commerce, it may be argued that Einstein, by virtue of his influence and likability, was the unwitting major force that promoted Laplace’s fraud right through the 20th century and into the 21st. Stephen Hawking appears to have unwittingly picked up and been infected by Einstein’s seemingly innocent baton …that carries the deadly Laplacian virus of quadrature.

Approximately half of the most fundamental random matters in science are traceable back to the original Needle Problem. This half contains quadrature and traditional random theory.

The other half are traceable to “action at a distance” as it was first used by Boskovic to predict the orbits of comets (circa 1734). This half evolved into the Quantum sciences and Bell’s Theorem.

Laplace apparently usurped the original Needle’s quadrature and used it to ultimately become the “father” of traditional random theory.

In 1795, Laplace seized control of the world’s simultaneously emerging systems of modern science and state run education.

In 1812, Laplace plagiarized and blunted the Needle. In the interim, he apparently made his point stick by blood and Terror.

The pivotal point in these matters is the infamous debate at the Paris Academy of Sciences in 1776. There, Laplace attacked Boskovic’s methodology for predicting the orbits of comets. He accused Boskovic of using “action at a distance.”

Boskovic was applying a theory of Newton’s. It was indeed “action at a distance” but Boskovic couldn't afford to broadcast it. Laplace maliciously broadcasted it for him.

The “debate” became the longest and most notorious in the history of the Academy. It lasted over a year. It was politically motivated and, relative to the public perspective, held a win/win situation for Laplace.

A decade prior to the debate, Boskovic had been publicly lauded as the “greatest mathematician in Europe.”

Since 1772, Laplace had, while not yet a member of the Paris Academy of Sciences, announced himself as the “greatest mathematician in France.” The title was apparently inspired by his usurpation of the Needle’s quadrature. It was a brag he often repeated throughout his career.

The debates at the Academy were popular public entertainment. This debate promised to be a championship for the title.

Instead, it quietly imploded. Not only was Laplace analytically wrong, it appears Laplace may have been exposed to his backers, including Buffon, as an academic fraud. That, of course, was already known to them, but must have galled Laplace.

….And none could say a public word!

Here again is another clue to Laplace’s apparent malicious conduct that has been overlooked. Let Boskovic’s finesse methodology of “action at a distance” be defined by Laplace through his biographer. “Treating the interval between the first and third observations as a first-order infinitesimal entailed neglecting second-order quantities.”(Gillispie, Charles Coulston. Pierre Simon Laplace, 1749 ‘ 1827, A Life in Exact Science. Princeton, 1997. p.97).

Laplace’s description fits the “action at a distance” he was challenging, but Gillispie does not relate it to Laplace’s relationship with the Needle …which itself holds the key to the same “action at a distance” that Laplace was challenging.

Here is the same issue two centuries later. This is also what Einstein was attacking in his EPR. Yet, the author does not relate it to the debate from which the argument originally sprung in 1776. “The intervening measurement has no influence whatsoever on what obtains at any other time. It has influence on some probability measures but none on the relevant (original emphasis) probability measures.” (Mohrhoff, Ulrich. Objective Probabilities, Quantum Counterfactuals and the ABL rule–A Response to R.E. Kastner. Am. J. Phys., Vol. 69, No. 8, August, 2001. p.872).

Laplace lost the debate behind the scenes. However, to many observers (virtually everyone) from the public perspective, who couldn’t understand the issues, Laplace appeared to win the “debate” on two fronts. First, Boskovic finally left France during Laplace’s long nonstop assault. That left a dim appearance that Boskovic was defeated simply by being worn down. Second, Boskovic was a priest who couldn’t properly defend the geometric probability of “action at a distance” on religious grounds in the first place.

Boskovic is considered the “father” of atom theory. His theories and his methodology of “action at a distance” –with a two century gap because of the 1776 debate– finally reappeared in the 1920′s. Action at a distance is the heart of Quantum Mechanics and Bell’s Theorem.

Laplace is considered the “father” of traditional random game theory, yet his methodology of random quadrature appears to come from his usurpation of the original Needle.

The issue between Laplace and Boskovic was between quadrature and “action at a distance.” It was the same issue between Einstein and Quantum Mechanics in the 20th century.

The fundamental issue is the random geometric connection between a circle and diameter. It concerns the issue of what exactly is being measured …and how to measure it …and what values to assign and obtain.

The issue between a circle and diameter is the issue between quadrature and “action at a distance” except, until this manuscript, “action at a distance” has never had the opportunity for a full and fair hearing.

Einstein’s disbelief in “action at a distance” is the core of his now infamous EPR challenge to Quantum Mechanics. It is essentially a repeat, using particles instead of comets, of Laplace’s challenge to Boskovic in 1776.

The issue between them in 1776, concerning “action at a distance” …is the same issue that began to backfire the EPR on Einstein’s theories in 1964 and 1982, with Bell’s Theorem.

Laplace’s argument was wrong when he attacked Boskovic’s use of “action at a distance” in 1776. What happened in history? Why do these issues continue?

Laplace is perceived as saying that with his screen of quadrature, the mean inclination of comets is 45 degrees. While he was wrong, it is strangely considered unimportant by his scientific biographer who only gave it a parenthetical note.

‘(Nor is it germane that no one had yet appreciated that the probability of an orbit is as the sine of the inclination, so that the mean should have been 60 degrees rather than 45 degrees.)’ (Gillispie, Charles Coulston; ed. Dictionary of Scientific Biography, Vol XV, Supp. I, Laplace. Scribner’s, 1990. p.292).

Gillispie’s observation does not associate the reason for Laplace’s error with Laplace’s apparent usurpation and mishandling of the original Needle’s universal random average.

By both quadrature and pi, 90 degrees of arc can be expressed as a 45 degree angle from a point of measurement, relative to a diameter base, with the Earth as the COR of the comet’s orbit, to the completion of a quadrant (ex: South to West). This is the original Needle’s relative length. Gillispie’s observation does not address the fact that 45 degrees of angle from the Earth as the COR of a comet’s orbit points directly to 60 degrees of arc on the very quadrant that Laplace was wrong about. The center point of that arc of 60 degrees also describes an angle of 67.5 degrees relative to the diameter base.

Therein is the descriptive geometry of “action at a distance.” The angle of 67.5 degrees is 22.5 degrees off a 45 degree angle. This is the pivotal angle in delivering the flat-bet .08333 advantage of Bell’s Theorem over three random measurements.

Although the issues appear similar, the author does not make the connection back to the 1776 debate. “The results may be described in terms of the angle …between the polarizers in the two wings …Quantum theory predicts …it should reach a maximum at …22.5 degrees.” (Whitaker, Andrew. Einstein, Bohr and the Quantum Dilemma. Cambridge, 1996. p.263).

The average of two random measurements is a 45 degree angle relative to a diameter base. This is the original Needle. This delivers quadrature.

The average of many random measurements is a 45 degree angle relative to a diameter base. This is also the original Needle. This also delivers quadrature.

Three random measurements of the original Needle extended with “action at a distance” is a 60 degree angle relative to the COR.

This delivers the grail when the angles are understood as relative degrees of arc and the difference in degrees of arc are made relative to the universal random average of 90 degrees of arc.

This appears to be comparing apples and oranges …but that is precisely the point of the original Needle as its linear geometry of relative 1/4 pi was simultaneously part of the circle of algebra.

That is: 60 degrees of angle minus 45 degrees of angle equals 15 degrees of angle.

Next: 15 degrees of angle divided by 90 degrees of arc equals the .16666 advantage.

That is: 15 / 90 = .16666 .

 

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History - Part 2

Written by G. T. Hushion. Posted in History

THE POLITICS OF PI

The French Revolution clearly had multiple causes with innumerable contributing factors and personalities. Yet it was not chaos. There were prime movers at the top. Democracy generally started well and peaceably through the Tennis Court oath. There was no serious violence until the tocsin rang to attack the Bastille.

By one report, it was Jean Paul Marat that rang it.

As Marat, the revolutionary journalist, the "Friend of he People," it was the start of his revenge for treatment he received, as Dr. Jean Paul Marat, a serious scientist, from the Paris Academy of Sciences a decade earlier.

Now, through the streets of Paris, the echoes of the tocsin were harmonized with rising cries of violence. They must have been all love whispers in the ear of this genius mad Doctor who would soon advocate killing hundreds of thousands.

When the Bastille was taken, the keys were first handed to Jacques Brissot. He was a journalist and political leader of the Revolution. A decade earlier, he had been Marat's foremost champion in the same matter that ultimately drove Marat. Then, Brissot, the journalist, had represented a reasonable person's point of view. In the notorious Brissot/Laplace interview, all Brissot had to do was ask what any critical journalist would ask in the circumstances ...and Laplace again arrogantly hanged himself and the Academy. The notorious Laplace/Brissot interview had followed the infamous Laplace/Boskovic debate. As a result of the interview, Brissot had even written a book (De La Verite) about the atrocious ignorance and damaging influence of Laplace. Brissot condemned the Academy for apparently following Laplace and adopting such a lax and prejudicial approach to science, not only regarding the Laplace/Brissot interview, but regarding the Laplace/Boskovic debate as well.

The Academy was embarrassed by Laplace, but its leaders were forced to defend him. Brissot would not know of the Academy's secret agreement with Laplace. Perhaps the truth gave him a peek four years after the Bastille as Brissot sat in a rumbling tumbril on his way to the guillotine. Brissot was perceived as leader of the Girondins. He would almost surely have heard that Robespierre and Couthon had alleged mathematical proof that Brissot and the Girondins were guilty of conspiring to murder Marat ...and mathematical proof that executing the Girondin's and a few others would ease the way for the Revolution!

Brissot may have easily figured out that Laplace was their mathematical source. However, Brissot would almost surely have never figured out Laplace's underlying motivation ...other than revenge for "De La Verite." It is doubtful if that knowledge gave him comfort.

Laplace was a front for Georges Buffon and Jean Condorcet. They had to conceal the truth of Marat's experiment because it led to the same conclusion of randomness and pi as Buffon's Needle!

Buffon and Condorcet used Laplace as a front to conceal their use and study of the Needle and its truth of pi. For the good of France (and their own coincidental best financial interests) they sacrificed both Laplace and their dedicated search in the Laplace/Boskovic debate. After the debate ...after using Laplace to condemn "action at a distance" ...after defending Laplace ...how could they (and/or Laplace) save face if their own commitment and studies using "action at a distance" was discovered or announced?

When examined in depth, "action at a distance" always leads to the same ultimate conclusion of pi as does the original Needle. Both "action at a distance" and the work of Buffon were suppressed and banned by the Roman Catholic Church. Starting in the early 1770's, Buffon and Condorcet, with the assistance of Jean Sylvain Bailly and Antoine Lavoisier, used Laplace as a front for their work to try and get around the Church. After the Boskovic debate and the embarrassing Brissot interview, they gave up actively promoting Laplace. They would occasionally give him some work, but he was generally kept in the background. Jacques Brissot was perhaps the most prominent journalist in Paris, if not all of France. The Academy couldn't afford another Laplace fiasco.

Sooner or later, those circumstances would come back to haunt the perpetrators. Laplace and the Academy leaders then had each other in a death grip. The truth that Laplace was a front, with marginal mathematical ability, would ruin Laplace ...especially after "De La Verite" appeared. In return, the truth of what the Academy had done would make the Academy a laughing stock ...especially after "De La Verite" appeared. This is to say nothing of the predictably serious political reactions of the Vatican ...which could generate an even worse response by the King. After all, France was a Catholic country by royal decree and it was the King's Academy!

The death of Brissot would at least partially protect Laplace from further embarrassment and risk of ruinous exposure through Brissot and "De La Verite" and the political power Brissot now wielded in 1793. That was half of Laplace's primary motivation behind his instigation of Robespierre to pass the Law of Suspects and generate the Terror.

It would also be of immense value to Laplace to have the execution of Condorcet and Bailly and Lavoisier and Buffonet and apparently Monge and very possibly more specific individuals. As well on Laplace's list was the Duc d' Orleans. The Duc was Buffonet's protector (and cuckold).

Obtaining the papers of his slaughtered colleagues would also help protect Laplace from future embarrassment and risk of ruinous exposure through diaries to be opened in so many years or circumstances after the death of the writer. This is discussed below. This is the other half of the motivation behind the Terror. Collecting the papers was apparently the job of Joseph Fouche.

Apparently, the alleged mathematical proof that the men known as the Girondins were traitors who should be outlawed and executed ...was what Robespierre and Couthon used to justify outlawing them and passing the Law of Suspects and executing them! Such "mathematical proof" was not only the motivation behind the Law of Suspects, it was the start of the Terror!

Georges Buffon died in 1788. His papers were passed to his son, widely known as Buffonet. If there was a single focus for Laplace to use Robespierre to initiate the Terror, it was killing Buffonet and obtaining the estate papers of his father, Georges Buffon. The papers of Condorcet, Lavoisier and Bailly were naturally all a close second in importance to Laplace. However, the entire matter of Laplace now appears to have started from Buffon, through Condorcet. From an academic standpoint, Laplace started by being handed Buffon's Needle (or not) with its geometric probability of pi. If he wasn't given the Needle, then he was only fed the probability studies he was to either share or rewrite and publish under his own name.

The pivot points of the Revolution were shaped by seven men in overlapping sequence. Each had a unique connection with Simon Laplace and the original Needle and its random geometric probability of relative 1/4 pi!

The Revolution’s lead in all matters came from Paris. The involvement of the Paris Academy of Sciences was the Revolution’s political center of rotation. In the middle were the Academy’s key officers and an extremely small handful of senior members. Dead center was secret knowledge of the original Needle and its point of relative 1/4 pi.

The evidence now points to Simon Laplace and his connection and treatment of the Needle as the hitherto unseen motivating cause of the Terror.

“My name is Buffon!” These were the last words of Buffonet as the blade fell. Let his words echo on.

Fouche's men, who were given civic awards for what they were about to do, immediately seized the estate and papers of Buffonet and his late father, Georges Buffon.

In terms of time line, Buffon's son was the last of Laplace's apparently intended original six victims.

That moment of horror completed Simon Laplace's initial intent and generally ended the French Revolution’s year of Terror. All that remained was for Laplace to use Fouche to clean up. The further guillotining, in the time known as Thermidor, appears as the clean up of witnesses against Laplace. Fouche had already had Robespierre and Couthon guillotined. The rest included close guards and friends of Robespierre and Couthon and other witnesses of Laplace's involvement, including witnesses to Laplace's mathematical contribution to the Revolution.

An overview of the French Revolution’s ten year period (between the Tennis Court and Napoleon) displays a series of apparently disjointed critical events wrapped around apparently loosely associated people. These circumstances include the leaders of the Academy and their successive confrontations with Jean Paul Marat, Jacques Brissot and Maximilian Robespierre.

In sequential order of generally accepted history, the pivotal power brokers of the Revolution appear to be: Antoine Lavoisier, Jean Sylvan Bailly, Jacques Brissot, Jean Paul Marat, Jean Condorcet and Robespierre. The evidence now appears to pin Robespierre as merely a medium for the dark power behind him. Let Simon Laplace’s name now be appended.

There was a single unspoken thread of cause and effect that joined these men. It shaped the Revolution from before the Bastille to Napoleon. The fiber in the thread was the original Needle’s relative geometric probability of relative 1/4 pi. During the Terror, approximately 20,000 people were guillotined as the result of Laplace’s apparent efforts to conceal his involvement with the original Needle and its random truth of pi and relative geometric probability.

Of the six power brokers preceding Laplace, the death of each was a direct benefit to Laplace. Their deaths --and concealing the true motives and forces behind their judicial murders-- was what the Terror and Thermidor now appears to have been all about. It was a bonfire of cold blooded evil that went out of control.

Lavoisier and Bailly were friendly working colleagues. They were senior members of the Academy, and each would serve as President of the Academy. These are the men who politically started and led the French Revolution. They were also committed to silence concerning the Needle and the circumstances surrounding the Laplace/Boskovic debate, including their own participation.

Jean Paul Marat was a loose cannon who threatened to light off real canons. Over four years, he used his newspaper/journal to increasingly advocated killing more and more people ...and never lost focus on Condorcet. Intentionally or otherwise, Marat's scientific experiment with light silently but geometrically matched the original Needle. Laplace would perceive that as threatening to expose the truth of relative 1/4 pi. That would bring up the Needle ...and that could unravel the Academy's entire fraud. After many visits to Marat's studio/laboratory, Laplace and the Academy abruptly and rudely rejected Marat's work.

Marat immediately responded. His work was a serious study and he felt he deserved more than an offhand dismissal. Marat was initially championed by Jacques Brissot.

Brissot was a dedicated journalist. He is perhaps best known as the man who ended slavery in France (noting this demonic institution was reinstalled under Napoleon). Brissot asked to interview Condorcet, but was referred instead to Laplace. The outcome was the mind numbing Laplace/Brissot interview and the resulting publication "De La Verite." Ten years later, as the Revolution progressed, Marat and Brissot appeared on opposing political sides, with Brissot standing with Condorcet. Marat couldn’t admit his motivating focus was on the death of Condorcet. This is surely why he included Condorcet in a larger group of elected officials who, along with Condorcet, were politically aligned with Brissot. They were known as the "Brissotins." As the Assembly disbanded to reform as the Convention, the “Brissotins” inexplicably became known as the “Girondins.” The evidence now points to this change perhaps originating with Laplace and anonymously passed to his enemy, Marat, by Robespierre. If indeed, Laplace was the instigator, the name change was to take public focus off the name “Brissot” which was so embarrassing to Laplace. If indeed true, it was also an intentional misdirection of public attention to the "Gironde" area of southern France, while continuing to include the same people, many of whom, including Condorcet, were from the Caen area to the North.

It is worth noting that Laplace and Charlotte Corday were also from Calvados in the Caen area.

Since the shift from "Brissotins" to "Girondins" was only a name change, it politically allowed and encouraged Marat to continue setting his sights dead center on Condorcet's neck.

It was in the best interests of Laplace to have both Marat and Condorcet dead. Charlotte Corday's assassination of   Marat did not kill Marat's allegations against Condorcet and the Girondins. However, it did stop the allegations against Laplace, from Marat, that would surely come if Marat continued his significant political influence. If Marat did not die, it would not be long until Laplace's name was at the top of Marat's death list. If Marat ever politically succeeded in getting Condorcet executed …Laplace's life was in immediate danger.

At a certain point in the Revolution, Brissot reached his peak as perhaps the greatest political influence in the Assembly. On this point it must be noted that Robespierre's greatest influence was not political, but rather came from Hanriot's pointed artillery and threats to use it if the Girondin's were not immediately expelled from government.

Brissot had published De La Verite (see within) a decade earlier. It was an indictment of Laplace and the Academy with a pointed finger at Laplace. In the early years of the Revolution, Brissot remained a distinct danger to Laplace’s career and reputation. That danger would become a reality if Brissot and the Brissotins succeeded in controlling the National Convention ...and ultimately the nation's education system.

Robespierre was apparently a puppet. It now appears Laplace contrived the “Terror.” Laplace apparently provided Robespierre with the alleged mathematics and social statistics that allowed Robespierre to justify and encourage the Terror. Laplace convinced Robespierre to start it ...with Hanriot to make it happen at the point of artillery ...and Fouche to be on the ready with police and secret police ...and Napoleon to back it up.

Napoleon almost certainly assured Robespierre (and Laplace) that if Paris --and the Revolution-- erupted, Napoleon would return. In the meantime, Robespierre would have the protection of the National Guard with Hanriot surely under the steady quiet guidance of Laplace.

Buffonet was Georges Buffon's son. Buffonet’s protector was the king’s cousin, the Duc d’ Orleans. The Duc had joined the Revolution and even joined the howl to execute the king. The Duc had also cuckolded Buffonet, who was a captain in the Duc’s guard. When the Duc was being judged for his life, one trumped up charge was that of loose living and frequenting prostitutes. Despite the Revolution, the Duc’s friends were powerful people who could still protect him, at least temporarily. Those friends also temporarily protected Buffonet. He was repeatedly arrested ...and released ...and arrested ...and released ...and arrested ...until there was no more release but the hiss of the blade and the blink of death.

The papers from the slaughtered scientists, most particularly the papers and memoirs of Buffon, Condorcet, Bailey and  Lavoisier appear to have been Laplace’s penultimate target. Of particular interest, the papers and memoirs of the late Buffon would contain original work on the Needle. As well, they might contain the story of how he used Laplace as a front for the Needle.

Fifteen years earlier, Dr. Jean Paul Marat had been in a losing confrontation with the Academy. It started well on the surface. In 1777, Marat’s living quarters/laboratory were, like the library meeting rooms of the Academy, on Royal grounds. Marat started a series of half a dozen scientific experiments. He was meticulous and each each experiment took approximately a year or more to conclude. He began with fire/heat.

In 1777, the Laplace/Boskovic debate was still in full swing and Marat was paying close attention to the Academy. He hoped his work would pay off with a membership offer. For starters, Marat became friends with Ben Franklin who admired Marat’s work. Franklin honorarily led the Academy’s blue ribbon commission to review Marat’s experiment. As physician to the guard of the king's brother, Marat had pulled his own backroom strings to get the Academy's blue ribbon commission appointed and Franklin to head it. It was an end run move that the Academy leaders resented.

By deduction and inference, and by coincidence or otherwise, the conclusion to be drawn from Marat’s next experiment (discussed below) with light (circa 1779) was a reflection of the unspoken original Needle’s random geometric probability of relative 1/4 pi. Of course Laplace saw the geometric truth in Marat’s work ...or at least reported it to Condorcet. However, Marat’s work would soon be publicly and rudely rejected by Laplace as he represented the Academy in place of Condorcet in the Brissot interview.

Marat’s work with light silently, deductively and inferentially supported, and was supported by, the original Needle. During the Revolution, if Marat had not been assassinated and had continued increasing his influence, he would almost certainly have reasserted his scientific work ...after executing Condorcet and almost surely executing Laplace as well.

Marat’s very continued existence (like that of Brissot and Condorcet and Lavoisier and Bailly and Buffonet) threatened to expose the random geometric truth that Laplace was concealing ...and therefore ultimately exposing the circumstances and agreements concerning Laplace's entry to the Academy as the "greatest mathematician in France."

Here, this history of pi requires another digression.

Deep in the heart of Laplace was a reason for his apparent need to kill six people and obtain their papers. His purpose was to bury their knowledge of his connection with the original Needle. His motive was to assure continued concealment of the truth of his usurpation of the Needle. Particularly its tacit truth in the “debate” of 1776/1777. The unspoken random geometric probability of the original Needle and its relativity leads to the same “action at a distance” that Laplace attacked in the “debate.” Laplace (and his backers) knew this but also knew he was safe since Boskovic couldn’t admit the truth any more than could Laplace. Mathematically, Laplace’s attack backfired. The public didn’t understand that …but Laplace’s backers did. In fact, it may have been intended from the outset.

Two years after the debate, Marat’s work with light silently supported the original Needle.

The Terror is generally attributed to Robespierre. The evidence now points to Robespierre as little more than the medium through which Simon Laplace apparently killed his own colleagues to continue the concealment of his involvement with the Needle. The Needle may have been a gift from Buffon with the proviso that Laplace use the Needle's geometric probability, but must never mention the Needle or pi. The arguments of random geometry Laplace pretended were his concerning a universal natural random mean ...appear completely based on the Needle ...without mention of the Needle. The foremost condition upon Laplace was that he never mention Buffon or the Needle. He was also to avoid pi unless absolutely necessary.

Beyond Robespierre was a power far greater than his infamous and dubious oratory. In 1793, that power included Hanriot's pointed artillery. Even that now appears to have been probably controlled by Laplace!

The evidence suggests that in 1770, Laplace usurped (or was covertly given) the original Needle’s random proof of 1/4 C. It was even a warp on the usual usurpation, since it appears he was quietly handed the Needle by Buffon. From the outset, and thereafter, Buffon appears to generally politically distance himself from Laplace. His motivations surely were to cover his rear, in case of political backfire from the Vatican or the King.

In 1776 and 1777, during the Boskovic “debate,” Laplace was supported by his small group of political backers. They may even have set up the “debate.” The set up would come from Buffon and Condorcet. Since it was a matter of astronomy, they brought in Bailly. Lavoisier may have been the underlying force (since he had the most to gain and lose).

In 1793, Laplace apparently used Robespierre to instigate the Terror. Laplace’s general intent was to kill the Girondins. His specific intent was to murder six men. They included the remainder of that small group of backers from 1770 and 1776. His motive was to make as certain as possible the embarrassing truth of his fraud and the original Needle’s geometric randomness stayed buried!

The murder of his colleagues allowed Laplace to rise to the top of the power pyramid of science. It was not, of course, by merit. Rather, by default and deceit and murder. Three of the men he targeted were his colleagues: the officers and leaders of the Paris Academy of Sciences. In 1793, with their imminent arrests and deaths, the Academy was closed. After their deaths, the newly organized Institute of France, led by Laplace, led the world of science into  the promising horizon and industrial age of the 19th century. It was a universal calamity from which the world has never recovered. It must be noted again ...the world was warned about Laplace in 1782, in Jacques Brissot’s “De La Verite.”

Like many revolutions (if not all) but perhaps more than others, the French Revolution was shaped by a web of conspiracies: real and discovered; alleged and true but unproven; alleged and false and but mis-perceived; real and undiscovered.

While really targeting Condorcet, Marat used his newspaper to concoct a conspiracy against a political group that included Condorcet. Marat essentially created and named them “Brissotins.” There are mixed reports on how and when the name was changed to “Girondins.” Marat argued the the Girondin's were counter revolutionaries and should be expelled from government, outlawed and executed. Marat's wildest dreams started to come true with the  threat of artillery by the National Guard.

The National Convention caved in and expelled the Girondins from their elected seats. A few weeks later, Marat was working on getting them executed when he was assassinated by Charlotte Corday.

There now appears a line of conspiracies involving Laplace. After (and apparently even before) Marat’s assassination, Laplace apparently used Robespierre to support Marat’s deadly policy of calling for the deaths of the “Girondins.”

Laplace’s conspiracy did not succeed simply by being clever. Only one party thought he was in a good faith conspiracy. By appearances, when the six were dead and the Terror was over …Laplace had Robespierre and Couthon and other witnesses guillotined. They would have included any guards and witnesses to secret meetings between Laplace and Robespierre and Couthon.

Laplace's tool in eliminating Robespierre was a man named Joseph Fouche. He led the Committee for General Security, which basically ran the police. This differed from the Committee for Public Safety which was primarily concerned with government policy and controlled by Robespierre.

Like Laplace, Fouche started as a mathematics instructor. He was also a friend of Robespierre ...until they had a fist fight. The timeline also fits that Fouche was brought aboard Laplace's deep cabal at the same time as Robespierre and Napoleon. Over 40,000 people were killed during the Terror. Approximately 20,000 were guillotined. The rest were butchered in ways that would make a hard core nazi or communist blush. Leading the pack was Fouche, known as the Butcher of Lyons. He was also apparently the only man in France that Napoleon feared. Fouche is also credited as the father of the modern police state.

Both communism and nazi fascism have their roots in the French Revolution. Communist roots are in the communes of Paris. The skins of many guillotined victims were tanned into garments and articles. Under Laplace, with the Institute of France specifically led by Laplace, and the chemistry division specifically led by Laplace, the real chemists were asked if they could develop the means of using gas to kill large numbers of people. This was also the time when the modern police state developed under Fouche and Laplace.

Laplace emerged from the Revolution with a tattered reputation. From scattered writings, he apparently inspired more contempt by onlookers and his contemporaries than he received respect from his few followers. He succeeded by murder and political and administrative power. Most withheld criticism out of fear. From the shadows, the Terror appears to be his from start to finish …and beyond. The Thermidor reaction also appears to carry his stamp. There are also some particular assassinations that invite much deeper review as to his possible involvement, including two members of the Committee of Public Education.

The assassination of Marat seeded the Terror. The fuller circumstances included the last pivot point in the French Revolution until Napoleon. The “Terror” lasted a year. Yet, after it ended, the guillotining continued in a period known as the “Thermidor Reaction.” This was accompanied by the “White Terror.” It was apparently Fouche, encouraged by Laplace, who organized gangs of armed thugs as police, through the Committee of General Security. They started work with lists and schedules of their victims. They started the clean up by guillotining Robespierre and his associates and witnesses.

When the organized guillotining ended, that didn’t stop the police and organized gangs. This rough state of affairs continued under an ineffective government by “Directory” for approximately five years until Napoleon.

In 1799, on seizing power as First Consul, Napoleon immediately named Laplace as Minister of Interior. Although only lasting six weeks before being fired, the position allowed Laplace to have a law passed that gave him permanent control of what was effectively a Ministry of Education. With that, he was able to set the science and mathematics curriculae. That cemented over his usurpation and control of "action at a distance" and the original Needle and its embarrassing geometric probability of relative 1/4 pi.

This overview generally sums up the political involvement of Paris Academy of Sciences in the pivotal points of the French Revolution.

The beginning of the Revolution was clean, with good Academy leadership. In 1788, Antoine Lavoisier was France’s leading franchise tax collector. As well, he was the Academy’s world-famous leading scientist. He was also a director on the government’s financial council. France was then still a kingdom based on a feudal economy. There were also frequent food riots. France was in desperate need of economic overhaul and Lavoisier urged the king to widen the tax base. He argued that the clergy and nobility should no longer enjoy a tax exemption. It would also make the king look good politically if he spread some democracy in response to America’s wildly popular new Constitution and government. After all, the American Revolution had been financed and militarily assisted by France. French blood had flowed!

The King agreed agreed to a bit of democracy and called the States General. At immediate issue for the common folk was their limited voting power as the Third Estate. With the idea of democracy now flourishing, the streets of Paris soon echoed with America’s old war cry: “No taxation without representation!”

Jean Sylvan Bailly was a respected astronomer and senior member of the Academy. He was elected President of the new National Assembly that quickly emerged from the Third Estate.

Jean Condorcet was Permanent Secretary of the Academy and also an elected representative. He accepted the position of Secretary in the new government and wrote France’s first Constitution (not adopted).

The King soon decided there had been enough democracy and ordered Bailly to disband the Third Estate/Assembly. Bailly tactfully responded he would pass on the King’s request for the Assembly's consideration. In the Tennis Court, locked out from their meeting hall and against the King’s wishes, the duly elected men took an oath not to disband until France had a Constitution. It was a continuum of what Lavoisier had started. It was the first of the three major pivot points of the Revolution. The next pivotal point was the appearance and activity of Marat. The final pivot point was the death of Marat and all that flowed therefrom.

In 1789, from the Tennis Court, Bailly was a hero and promptly made Mayor of Paris.

The King did not immediately agree but couldn’t stop the process. The National Assembly proceeded with the business of building a democracy.

On July 9, the National Assembly declared itself as also sitting as the Constituent Assembly. Three days later, 50,000 citizens armed themselves and formed a local National Guard to protect Paris and their new found democracy. The King finally agreed to consider a constitutional monarchy.

On July 14, 1789, the Bastille was stormed. It was apparently Marat who rang the tocsin that called the citizens.

It is carefully noted here that the keys to the Bastille were first awarded to Jacques Brissot. Ten years earlier he had published De La Verite. The book was motivated by Brissot’s interview with Laplace. In it, without mentioning names, Brissot expressed concern and dismay over the academy’s acceptance of Laplace’s behavior during both the Laplace/Boskovic debate and the Laplace/Brissot interview. The book publicly embarrassed Laplace and the Academy.

The Bastille began the second major pivot point in the Revolution as it introduced Marat as a significant factor. Thereafter, until his death in 1793, the political shape of the Revolution was molded by reactions to the increasingly radical demands of Marat. He was the father of the French Revolution’s most infamous conspiracy as he used his journal against the Brissotins (same as: Girondins). That fabrication was the stage on which the Terror ultimately played out.

Between 1789 and 1793, there was subterfuge in Marat’s conduct. As a journalist, he had to keep his attack appearing political while his personal focus was on Condorcet and his academic colleagues. This was his revenge for the confrontation years earlier.

In 1793, Condorcet was the only Academy member from the old Marat confrontation who was in public office. As a journalist, Marat could not admit his true motive without losing credibility. His solution was to include Condorcet in the larger group of politicians. In truth, the Brissotins were all independents.

Marat believed that years earlier, soon after the Brissot interview, Bailly and Condorcet had written to the King of Spain and squelched Marat’s opportunity to lead the newly forming Madrid Academy of Sciences. As far as Marat was concerned, that changed his confrontation with the Paris Academy of Sciences to something more than a mere unfriendly and unpleasant academic difference. It was war!

When the Revolution came, Lavoisier, Bailly and Condorcet took leading roles. Lavoisier soon dropped out of political sight. Bailly had to resign after two years due to public outrage (fueled by Marat) over his alleged responsibility for the Champs de Mars Massacre. Laplace wisely stayed out of political sight throughout.

As a journalist, Marat took his revenge on the Academy in an all out war of hot politics …with the guillotine for the losers!

In 1793, like Laplace and Boskovic in 1776, Marat could say nothing of his deeper motivations as he used his newspaper to accuse Condorcet and the Brissotins/Girondins of conspiring as counter revolutionaries. Therefore, Marat argued, they should be expelled from their seats in government (which legally protected them as elected officials) and declared outlaws and executed.

The National Convention finally caved in and expelled the Girondins …but the price came with an unrefusable offer.

On June 2, 1793, the expulsion –and Laplace’s rise to power behind the throne– was not by oratory and reason. It came from the pointed artillery of the National Guard and a threat to use it if the Girondins were not immediately expelled within the hour.

It is questionable if, three days earlier, Robespierre and the Jacobins and the Paris Commune would have delivered the artillery of National Guard –and a list of Girondins to be expelled and executed– to Francois Hanriot without the recommendation or involvement or assent or control of Napoleon and Laplace.

Let it be accepted as obvious that Laplace was near the top of Marat’s black list. Marat was power-poised as President of the Jacobins. The key people knew what Marat was doing and why. Marat was on the war path and Laplace was in his line of sight. For his biographers to think that during this time Laplace, Chief Examiner of Artillery, generally stayed out of Paris and practiced his calculus ...is naive.

Laplace’s reputation was for trying (with great success) to dominate and control every decision of every committee he was on. For years he was Chief Examiner of Artillery …with the strongest possible ties in that direction with Napoleon! He wisely had himself removed from duties to make it look he too was a victim, but he would soon be Chief Examiner of Artillery again. It is not credible to accept Laplace as quietly playing academic while Marat was getting ready to draw a deadly bead on him.

With the forced expulsion of the Girondins, the government’s authority effectively passed to the Montagnards …and the Jacobins …and the Committee for Public Safety …and Robespierre. The evidence now points to Laplace behind Robespierre.

It only remained for Marat to convince people to execute the Girondins. On July 13, 1793, he was reportedly reassuringly smug on this just heartbeats before Charlotte Corday knifed him.

It is the singular flow of events around Marat’s death that contain the last major pivot of the French Revolution before Napoleon. It is the continuum of this moment that makes no sense to historians. There is no apparent reason for what happened after Marat’s death. There was no apparent need to execute the Girondins after Marat was dead. Enough reasonable people recognized the ravings of Marat as coming from hot madness and cold blooded revenge. Yet, Marat had excited the passions of the Parisian populace. For that reason, he and some of his rantings were adopted by the Jacobins for political convenience. They succeeded. They also destroyed France’s new democracy in the process.

After Marat’s death, there was no one else to so rouse the common folk and no reasonable need to continue Marat’s unreasonable call to slaughter the Girondins.

After Marat’s assassination, Robespierre and Couthon inexplicably snatched up Marat’s banner and called for the execution of the Girondins. This is the sticking point for historians.

This was the seed of the weed that sprouted into the Terror. Why execute the Girondins? The Revolution had already succeeded! The Rights of Man had been proclaimed! The King was dead! Marat was dead!

Until the Girondins had been expelled from their duly elected seats at the point of artillery, France was a democracy with a working government! Up to that point, a democratic infrastructure was still in place. From an Historical overview, there was no apparent sufficient reason, political or otherwise, for the Terror! Why did Robespierre and Couthon insist on executing the Girondins …and then continue with more executions?!

The Terror now appears to be the brain child of Laplace. He had the identical subterfuge as Marat ...keep the real sights on Condorcet. Laplace used Robespierre to make certain that six names on the list of Girondins to be executed …were executed! The two at the top were Laplace’s mentor, Condorcet …and Laplace’s nemesis, Brissot!

The ever more stringent laws of the Terror were the repeated attempts to broaden the net and bring in Condorcet and Buffonet after Condorcet initially escaped capture and Buffonet was repeatedly taken and released. Those laws got out of hand and led to the Terror.

On September 17, 1793, the Law of Suspects was passed. It provided for the execution of those suspected of being counter revolutionaries. Some consider it the historical beginning of the Terror as the arrested Girondins were outlawed and many, including Brissot, executed.

It is the nature of the expulsion and execution of the Girondins that is the true arena of these matters. Besides executing the Girondins, the Jacobins had just effectively executed a coup d’etat! Who was behind it besides Robespierre?

Laplace was behind Robespierre ...with Fouche and Napoleon to back him up!

Who came first …Simon Laplace the stage master …or Simon Laplace the opportunist?

Thereafter, government authority was increasingly surrendered to the Committee of Public Safety, which was controlled by Robespierre. The Committee of Public Safety then wrote and applied the laws of the Terror. These were rubber stamped by the Convention …which was controlled by the Montagnards and the Jacobins. All were initially responsive to Robespierre.

Robespierre’s right hand man was Georges Couthon. He was a lawyer who was also quite disabled so as to require men to carry him. Couthon would become President of the Convention. It appears Laplace was the single strongest influence behind Couthon and Robespierre ...and behind Hanriot and Fouche and Napoleon. What kind of men were these?

One of Robespierre’s major biographers describe Francoise Hanriot as a close personal friend of Robespierre. True or not, Hanriot must go down in history as not only a despicable traitor along with Robespierre, but as one of history’s most evil men. This brute is credited with first stabbing Princess Lamballe in the stomach as she spoke a word on behalf of her jailer, then ripping off her clothes, leading a gang rape upon her, cutting off her breasts, cutting out her genitals and finally decapitating her. This close friend of Robespierre then paraded her head on a pike in front of Marie Antoinette.

Napoleon personally witnessed Hanriot's unmentionable conduct.

It is inconceivable that Hanriot was given charge of the National Guard’s Artillery, through Robespierre, without the approval of Napoleon and Laplace.

It was clearly never intended for Laplace or his name to become public in those circumstances …but Couthon let the cat out of the bag when he made his argument to the Jacobins for executing the Girondins. Marat was dead and there was no apparent legitimate reason for such executions. Marat’s old calls for slaughter were without credibility. There was only one reason Couthon could dredge up to “prove” the false Girondin conspiracy that Marat maliciously alleged. Couthon justified his call to execute the Girondins with assurance there was a mathematical demonstration of a conspiracy between the Girondins and Charlotte Corday!

Mathematical proof of a conspiracy?! That “mathematical proof” was a death sentence for Condorcet and clearly the mathematician who made the absurd computation of those social statistics knew it. By all legally admissible evidence, that mathematical cat strongly appears to be Simon Laplace!

Condorcet is generally considered the “father” of modern social statistics. He is credited with putting actuarial tables and the stock market on statistically organized tracks of “probability.” Laplace had worked with Condorcet in developing those seminal mathematical mergers.

To understand what drove Robespierre and Couthon to initiate the Terror, it is necessary to understand what drove Simon Laplace to initiate the Terror.

Leaving his college studies in Caen, Laplace moved to Paris. There he obtained work teaching mathematics at the Ecole Militaire. He lived at the military school for twenty years until he married.

[Note: Robespierre was a man who boasted of living a pure and austere life. He must have been quite seriously impressed with Laplace.]

In 1772, while still politicking for Academy membership, Laplace expressed that he had discovered that the second degree of every equation necessarily lies in quadrature.

That, of course, is the original Needle. That is: the average of two random tosses or measurements tends to match a quadrant of the circle or field being randomly measured. That average is a Cardinal pole or the distance between two Cardinal poles (ex: South to West). That is: 1/4 C. The natural average of a quadrant is the basis of quadrature.

Relative to the geometry being measured in a series of random measurements, the first toss of the original Needle (or any other random event or measurement) is the first degree of its own equation. Let it be called South.

The second toss is the second degree of the equation. Relative to randomness and the first toss, the second toss tends to averagely complete the distance of one quadrant of a circle relative to the first toss. That is: 1/4 C. That is the original Needle. This is an average. It is a statement of algebra. This is quadrature. It is just a mathematical perception. Let that point of relative geometric probability be called relative West, relative to South.

The algebra of a random quadrant is the basis of random quadrature. In 1772, after Laplace usurped the Needle and used its random quadrature to announce "his discovery," (it wasn't his ...it had been given him surreptitiously by Buffon and Condorcet) he did not credit Buffon or mention the Needle or the fact that the average of random quadrature and 1/4 C was also the original Needle’s random proof of relative 1/4 pi. That is: 1/4 C = relative 1/4 pi, relative to the circle or game’s pi-angle or “diameter.”

The second toss of the Needle is the second degree of its own equation. Its value is 1/4 C, relative to the circle ...except it is also relative 1/4 pi ...and that is the universal random average and is relative to the diameter in the first instance.

It was this random geometric truth of relative 1/4 pi that Laplace concealed. His usurpation of 1/4 C, as well as his error of mathematical analysis in the Boskovic debate, may have been exposed to Laplace’s backers, including Buffon, if they didn’t already know it. As well, it would have been apparent to them that an equation of three degrees, which is necessarily used with “action at a distance,” delivers a random advantage over random quadrature with an equation of four degrees.

For the political reasons described herein, these men could say nothing of the contradictory geometric truth.

This apparent back room exposure in front of his colleagues and superiors was surely an embarrassment to Laplace in 1776. That was soon followed by the embarrassment of De La Verite. Laplace apparently spent the rest of his life concealing and repairing those events. For example, it was surely this that impelled him to require incoming students to the Ecole Polytechnique to be already versed in 4th degree equations! It was surely this that compelled him to set up that requirement by necessarily committing mass murder in order to get the administrative authority to do so!

The problem for Laplace was that the random proof of the geometric probability of relative 1/4 pi mathematically dissolves the algebraic quadrature of 1/4 C. This dissolves the algebra of traditional random theory and the very quadrature possibilities that Laplace was pushing.

However, the geometric truth of relative 1/4 pi only makes mathematical sense with “action at a distance.”

The original Needle and its second degree equation holding the geometric probability of relative 1/4 pi, holds both the lock and the key to the grail. Third degree equations open the door to “action at a distance” …and there’s the grail …a flat bet .16666 advantage. This is what backfired Laplace’s theories of quadrature when he attacked Boskovic for using the three degree equations of “action at a distance” in 1776. This is what spooked Einstein in the early 20th century.

With the finesse methodology of “action at a distance,” third degree equations geometrically prove only a diameter is rotating and/or being randomly measured in the first instance of randomness.

Third degree equations prove that the algebra of a perceived circle and/or “game,” is, randomly and geometrically, only a “game” relative to the algebra of a fourth degree equation that necessarily includes a semi circle or: 1/2 pi. This is mathematically so since the end pole of a rotating diameter (or “pi-angle”) is also the end pole of a semi circle (or half a “game”). Geometrically, relative 1/2 pi is relative to the diameter through three random measurements (three degrees of an equation) of relative 1/4 pi each. Let the semi circle be described: South to West to North.

If the second degree of the equation (West) is taken but eliminated from consideration over three random measurements (through the geometric finesse of “action at a distance”) the relativity algebra of 1/2 C becomes 1/2 pi …which, depending on perspective, is also relative 1/4 pi …which also, unexpectedly and randomly, and regardless of perspective, appears as the geometric probability of 1/6 pi!

This is what spooked Einstein.

The relative pi-angle pole of a randomly measured three-pole axis is a .33333 geometric probability, at the third random trial, in a series of three random trials. Since randomness on the straight line of a pi-angle can only geometrically consist of two possible directions, the geometric probability is divided by two possible directions. That is: .33333 /2 = .16666 . This is the probability “size” of the "other end" pole (relative pi-angle pole) of a randomly measured rotating diameter.

Let the relative pi-angle pole be relative "North," relative to South.

Measure North with traditional random theory and it statistically appears as a Cardinal pole with a .25 algebraic possibility.

Measure North with "action at a distance" and it is a relative pi-angle pole with a .16666 geometric probability on top of the .25 algebraic possibility.

Since the end pole of a rotating or randomly measured pi-angle is also an arc of the circle that comprises a “game,” its arc of geometric probability is .16666 of the algebraic "game" or circle…or pi!

With “action at a distance,” what should theoretically appear as a random quadrant arc of .25 of the circle under traditional random game theory and life’s perceptions …suddenly becomes a geometrically probable arc of .16666 under “action at a distance!”

Since the original Needle proved a randomly measured circle or game is a random statement of relative pi, the relative pi-angle pole is a .16666 geometric probability on a circle that is one hundred percent pi.

The relative pi-angle pole is split by the pi-angle (or “diameter”) exactly like a Cardinal pole. The difference between a Cardinal pole and a pi-angle pole delivers the .08333 flat bet random advantage. This is factored by two directions.

This truth of geometric probability appears to be the geometric truth of “action at a distance” that was revealed in debate and the back rooms of the Academy in 1776.

For the horrendous and bloody reasons given herein, traditional random theory doesn’t recognize geometric probability.

Fourth degree equations reaffirm quadrature. It is the fourth pole of a circle. This affirms the traditional perceptions of a circle and/or traditional random theory. Fourth degree equations automatically count the second and third degrees. This completes the circle. The fourth degree of quadrature necessarily includes and considers the second degree. This automatically eliminates the geometric probability of “action at a distance” which uses an equation of only three degrees as well as a geometric finesse to eliminate the equation's second degree.

Quadrature reduces all series of random measurements to algebraic possibilities. It renders relative 1/4 pi meaningless.

The quadrature of fourth degree equations makes “action at a distance” --and a true understanding of pi’s relative geometry-- mathematically impossible. Laplace knew this. By using his political and administrative authority, starting when he covertly seized power in 1793, Laplace assured that only fourth degree equations were taught in public education!

Laplace entered the Boskovic debate as the self described “greatest mathematician in France.” He was proved wrong and apparently may have been exposed as dishonest. Thanks to the Terror, in which witness's papers and memoirs were seized by Laplace, we may never know precisely who, other than Boskovic, knew or understood the more complete truth that actually emerged (or didn’t emerge) from that “debate.”

It was not uncommon, in a time when horrible revenge may be taken on one’s family, for those in sensitive positions to write memoirs that were to be published only after their death, or a term of years thereafter. It was this possibility of late memoirs that appears to have driven Laplace. He knew his colleague/victims were bound to a cause of silence while alive. He chose a route of Terror to help assure their silence forever. During the Terror, in addition to apparently causing the deaths of his colleague/witnesses, Laplace made certain their working and personal papers were immediately seized and delivered to him.

These and other dark circumstances are supported by a light sprinkling of carefully worded contemporary accounts by cautious or frightened people. This small scattering of evidence supports a major piece of circumstantial evidence against Laplace. It is found in Georges Couthon’s unusual political offer of mathematical proof for executing the Girondins.

The case against Laplace is fleshed out by juxtaposing Couthon’s words with a statistical analysis of the Terror in which the sequential order of its increasingly vicious laws are correlated with the deaths of the six specific men who had a unique connection with Laplace. This evidence should generate probable cause for a new investigation into the Terror and Laplace’s participation.

The motives for Laplace’s apparently murderous conduct appear to reside in good part in the events of the 1776 debate and the disastrous interview with Brissot. By the political, and possibly military, secrecy that necessarily attended those back room circumstances, it is imperative to read between the lines.

The most relevant possible paperwork concerning Laplace’s misconduct was all seized by Laplace. This includes the records of the Paris Academy of Sciences and the Wcole Millitaire as well as those of his colleague/victims as well as the Vatican's secret files. It is again necessary to read between lines and pages that perhaps no longer exist for malicious reasons beyond simply missing by the “passage of time.”

The essential matters of the 1776, debate were already banned by the Catholic Church. These included “action at a distance” as well as works by Newton and Buffon. This requires reading even more deeply between non existant lines.

As discussed in Part 1, in the debate, Laplace was mathematically wrong in his conclusion regarding the orbits of comets. However, the Academy committee assigned to review his conduct was politically loaded in his favor and gave him a whitewash.

On the other hand, Laplace was correct about Boskovic using “action at a distance.” For the same political reasons, the committee allowed Laplace to continue attacking Boskovic for over a year. All Laplace had to do was publicly accuse Boskovic of using “action at a distance.”

Boskovic would have been desperate to stop Laplace. However, Boskovic was stuck. He could prove Laplace wrong …but was unable to put the point too deep …because Boskovic really was using “action at a distance.”

In a back room, Boskovic could (and almost surely did) easily point out that the quadrature (1/4 C instead of relative 1/4 pi) Laplace was using as the basis for his attack was usurped from Buffon’s Needle. Yet again, this too was a matter that Boskovic couldn’t push too far. After all, Boskovic apparently silently used the same point of the Needle (as relative 1/4 pi instead of 1/4 C) to come to an application and understanding of predicting Newton’s orbits of comets with “action at a distance.” Indeed, it may have been Boskovic, as the mathematical genius of the Colegio Romano, who may have been asked to evaluate the original Needle (as well as the “action at a distance” in Newton’s comet theory) in 1733 or 1734, and look for any possible religious controversy.

In 1733/’34, did Boskovic point out to his superiors that the Needle ultimately reduces everything to a world of pi? How would that sit with the Jesuits and/or the Inquisition? Was this why Boskovic may have been apparently fired from his position at the Colegio?

For many, the original Needle must hold (even now as then) an all encompassing seemingly untouchable world of relative pi. The philosophical implications are mind boggling.

For these reasons, “action at a distance” was a facet of science that no one dared to politically touch in the 18th century. Support for the concept would be risking political notoriety and, in a Catholic country, even possible excommunication or imprisonment or worse. Any such apparent support could have career ending consequences.

That Boskovic exposed Laplace to Buffon, if Buffon didn’t already know, is supported by hints of circumstantial evidence. These are discussed in CRACKING PI CRACKING RANDOM.

Georges Buffon was five years dead in 1793. If Laplace’s intent was simply to slaughter his colleagues to gain power, his pursuit of Buffonet (Georges Buffon’s son and heir) would not make sense. Yet, if there was a single ultimate focus to Laplace and the Terror and the Law of Suspects and the Law of Prarial and the other absurd laws in between ...it appears to be the murder of his colleagues to clear the way to obtain their papers. In that regard, Laplace appears most eager for those of Buffon, held in estate by Buffonet.

During the 1776 – ’77 debate, Buffon unexpectedly published the Needle twice. The second time, Buffon placed it in an unusual section of his Histoire Naturelle. It was titled “Moral Arithmetic.” Buffon was perhaps bound to silence concerning the Needle and the Laplace/Boskovic debate …but was he quietly making a double point?

After Buffon's death, Laplace seldom missed an opportunity to trash Buffon. During the Revolution, Laplace had a sycophant follower named Cuvier. Laplace was surely behind Cuvier’s unusually focused assault on the Royal Gardens and Buffon’s theories. Let it also be noted that after Buffon’s papers and work were seized by Laplace’s agents (Fouche's police agents) they were rewarded with civic honors. What was that really all about?

In 1776, Laplace appears to have been at least temporarily safe from public exposure by the political motivations of the small group of people supporting him. They were the officers and leaders of the Academy. At stake in common were the deepest possible political and economic interests of France. As well, each man had serious personal financial and/or career interests at stake. For political reasons, they could publicly say nothing of the geometric truth unfolding before them. As well, a military secret may have been involved.

Six people were at the core of this handful. Up front, Laplace forced a “debate” upon Boskovic. Supporting Laplace, while generally appearing to do so from a neutral corner, were Condorcet, Lavoisier, Bailly and Buffon. Gaspard Monge (1746 -1818) may have been included. Monge is the father of “descriptive geometry.” Monge’s superior, Etienne Bezout (1730 – 1783) may also have been involved. Bezout was a senior member of the Academy, a noted mathematician, and France’s Chief Examiner of Artillery. When Bezout died, he was replaced by Laplace.

Although he may or may not have been of the original inner sanctum regarding the debate, Monge appears to have perhaps had his personal say of Laplace along with a professional perspective. This may explain Laplace’s famously long and passionate hatred of the man.

In 1776, Bezout certainly had his say. Bezout was appointed to the special committee, formed by Condorcet, at the demand of Boskovic, to examine Laplace’s outrageous behavior during the "debate." Besides being academically wrong, Laplace had been generally conclusionary (that is: without giving sufficient supporting reasons) and rudely accusatory. Laplace claimed Boskovic’s methodology for predicting the orbits of comets was “action at a distance” and generally useless. Laplace claimed the methodology of his own quadrature was better.

Boskovic would have made his academic point first in public. He undoubtedly would have immediately made a more personal point in private. Boskovic would have pointed to Laplace’s error with sufficient analysis. While probably no one in the public gallery understood what Laplace and Boskovic were talking about, the men behind Laplace were the leading scientific genius’ of their generation. They would have understood the issues. They also did not have to back down even though their man, Laplace, was wrong. Laplace was at least right concerning Boskovic’s use of “action at a distance.”

Boskovic was limited in claiming “victory.” He could not publicly explain the real advantage of his methodology without considerable risk of admitting and exposing his use of “action at a distance” in defiance of the Church. He could basically only claim his methodology was a different way of measuring something.

For the reasons given herein, the committee reviewing the debate was, of course, stacked against Boskovic. The committee concluded Laplace was technically correct and slapped his wrist for rudeness while suggesting they take their differences back into the public arena …which was exactly what Laplace’s backers wanted.

Thereafter, for approximately fifteen months, Laplace was allowed to repeatedly embarrass Boskovic at the regular public meetings of the Academy. Laplace had only to stand up and rudely accuse Boskovic of using “action at a distance.”

The “technical correctness” the committee assigned to Laplace would be recognizing the possibility of using quadrature to track the orbits of comets. It would be similar in manner to using Cartesian co-ordinates. It allows an algebraic comparison, but does not allow for the geometry of “action at a distance" and does not address the underlying geometric interaction with gravity. Cartesian co-ordinates allow the description of algebraic geometry. The algebra of Laplace’s random quadrature fits on Cartesian co-ordinates as the algebra of descriptive geometry. In short, the algebraic set up of Cartesian co-ordinates fits only a set up for more algebra.

This theory of the debate appears to fit an unusual chain of circumstances stretching back several years.

In or around 1771, Monge approached Condorcet with a calculus problem. Monge’s specialty was artillery fortifications. Over the previous five years, Monge had designed a military fortification that was a military secret.

The original Buffon Needle Problem, from 1733, is considered one of the first practical applications of calculus.

Buffon was Permanent Treasurer of the Academy when Monge approached Condorcet. The problem with calculus is that if the measurements are random, the mathematical trail always leads to the original Needle and its conclusions of pi …if the original Needle’s universal random unit of measure is used. Since Buffon's work was already banned by the church, and since random calculus leads back to Buffon's Needle, the apparent practice at the Academy was to quietly pass such questions to the resident atheist mathematician. At that time, it was Jean D ‘Alembert [now a famous name in game theory].

Condorcet was then assistant to the ailing Permanent Secretary. That put Condorcetat the top of a short list for appointment as Interim Permanent Secretary of the Academy. That would put him in line for Permanent Secretary. It was the Academy’s most powerful position. The Paris Academy of Sciences then led the world as the cutting edge of science, especially in physics and mathematics. In those years, Permanent Secretary of the Academy was probably the most influential position in the world of science.

Buffon represented the old guard. Condorcet represented the new generation. If Condorcet gained the appointment, it was inevitable they would someday clash (and they did). When that occurred, Condorcet would need all the support he could get. In the interim, Condorcet needed Buffon’s support to become Permanent Secretary. As well, they both ...especially Buffon ...needed someone to do any religiously touchy calculations.

By way of background, the argument may be introduced here that Boskovic knew Newton’s comet theory well before 1733, but didn’t develop it until after the Needle came out. Action at a distance doesn’t appear to make mathematical sense relative to the randomness we perceive (this was Laplace’s argument in 1776). It only made sense with the original Needle …which came with its special and unacceptable price of pi.

In 1734, Boskovic was a Jesuit priest. The sense that Newton’s theory made, and the methodology that delivered it, was from the banned “actio in distans.” Boskovic could only use it if his conscience let him and if he could get away with it. What he couldn't do was admit that was what he was using gave any kind of special advantage. He could only claim it was just a different way of measuring something. Boskovic may have gotten fired from the Colegio Romano over this, but this too must be read between the lines.

The library of the Colegio would have received, as quickly as possible, virtually every publication by every scientific Academy in the world. For a few years before the Needle, Boskovic would have probably had access to those works, including the works of Newton. Although in Rome, Boskovic would also have had ready access to Buffon’s Needle, if not in 1733, then probably within a week of its first publication in 1734.

The Needle makes mathematical sense of Newton’s theory and Boskovic’s application of it. So what’s the problem?

Relative to pi, the mathematical sense comes in a dimension of pi, through the random geometry of relative 1/2 pi, with a unit of measure of relative 1/4 pi, which, when using “action at a distance” over three random measurements, changes the random geometry of pi and 1/2 pi and 1/4 pi …to 1/6 pi! In this dimension, only the pi-angle and the relative pi-angle pole, relative to a pi-angle base, reflect the geometric probability of random physical reality. In this dimension, all other dimensions and poles are just relative pi in rotation. More specifically, depending on the relativity: either pi or relative 1/4 pi or 1/2 pi or 1/6 pi in rotation ...just algebra. Just a perception.

That is: paradoxically, relative to the randomness of a pi-angle, everything other than the pi-angle is relative pi or a geometric percentage thereof.

When “action at a distance” is applied to a series of random events, the mathematical sense of pi becomes a geometric probability that is quite different from quadrature and/or traditional random theory and/or the “random” physical reality we perceive and have been taught. The nature of pi changes.

By 1771, some works of both Newton and Buffon had been banned by the church. Both Newton’s “action at a distance” and Buffon’s original Needle ultimately lead to the world of random pi. If pi was the real reason for the church’s ban on Buffon’s work concerning evolution, not even that could be admitted. Buffon's works were ostensibly banned for his theories of evolution. It was easy to argue against evolution. Who actually knew what was happening over thousands or millions of years? However pi was another matter. If the Church specifically banned the Needle because of pi ...everyone would immediately know where to look.

There is only one possible ultimate conclusion in the use of randomness and calculus. Everything measured randomly is the universal random average or a percentage thereof. If it is a percentage thereof, it only has gravitational relevance to relative 1/4 pi in the first instance. This is easy to conceal however. Simply measure it with a different unit of measure, use fractions and call it so many inches or millimeters or light years.

The geometric truth only comes with the randomness of the original Needle. The genius of the original Needle was that it allowed gravity to randomly define itself. Gravity came up with the universal random unit of measure: relative 1/4 pi, relative to its pi-angle (or “diameter”). The pi-angle is gravity's straight line pull through an object or field.

The original Needle deductively values the pi-angle as: “1.”.

Here, another digression is necessary.

It is here, with the unspoken use of the Needle, that Laplace's first expressed the mathematics of his fraud. It appeared in 1772, when he announced he had discovered that the second degree of every equation lies in quadrature. By this he meant 1/4 C. This is the original Needle. The fraud continued throughout his career. In 1812, he plagiarized and warped the Needle.

If any other length of Needle than relative 1/4 pi is used as the random unit of measure, it is not random relative to the geometric probability of gravity. A different length of Needle (including traditional random theory) is arbitrarily relative to the randomness of perception only.

A randomly dropped Needle that is of any length different than relative 1/4 pi is not random relative to the randomness it purports to deliver under traditional random theory. The difference is quadrature …which changes the underlying random geometric nature of probability that is naturally and gravitationally aligned with the pull of gravity's single dimension. The methodology of quadrature changes the statistical results of gravity's pull on a single dimension into a "game" of two dimensions of algebraic possibilities on a circle (or “game”). Random quadrature is demonstrated by the algebra of calculus. This incestuously delivers the random algebra of the field or game we perceive. Only the methodology of "action at a distance" allows us to statistically see what gravity is randomly delivering.

In short, random quadrature, upon which traditional random theory is algebraically based, does not mathematically reflect the randomness that gravity is geometrically delivering.

Geometric probability is delivered by “action at a distance.” This statistically delivers the random flat bet advantage.

There is nothing wrong with random quadrature …but to understand the underlying nature of randomness it is necessary to understand its deeper geometric roots in relative 1/4 pi. It is these random roots that Laplace concealed.

The trail of geometric probability through the original Needle automatically leads to “action at a distance.” This is only randomly found and proven by starting with a correct geometric assignment of “1.” By the proof of the original Needle, that assignment is to the field or game’s pi-angle or diameter. This deductively values a game or field's radius as: .50 .

The value of a radius as .50 is the value deduced from the original Needle. It is the academic side of what Laplace needed to conceal. If used, a radius of .50 dissolves quadrature. If a radius is valued as anything else --or a Needle or unit of measure of any other length than relative 1/4 pi is used-- quadrature is possible and “action at a distance” is impossible. Laplace virtually always valued a field or game’s radius as: “1.”. This conceals the truth of geometric probability. It does so by matching random results to life’s perceptions of a circle... rather than to the geometric probability that gravity is randomly delivering on a pi-angle.

This ends the digression.

To continue: if Monge was using calculus and geometric probability to design fortifications against random artillery (with any necessary Bayesian adjustment for tactical considerations of terrain, etc.) Monge would necessarily have come up with, and used, the same random geometric probabilities as the original Needle.

If so, the inevitable “shape” of Monge’s fortification design would be some variation of a double S curve or double “U” or “W” or star. This generally reflects the unique ups and downs of both a geometric description of the original Needle over a series of random tosses …as well as the first slices of “Boskovic’s Curve,” which appeared circa 1756.

In a field of two perceived dimensions (the Needle’s floor planks or an artillery fortification) a random bombardment will be perceived as tending to statistically balance itself (subject to Bayesian adjustments) in quadrants. These are the four poles of the two dimensions. Relative to what we perceive, a random bombardment is relative to the perceived circumference of the four poles of the circle or fort. However, relative to randomness, the random bombardment is on the circle or fort’s pi-angle ("diameter"). That makes it a matter of geometric probability. Therein lies the sense of a star or double “U” or “W” curve.

If the “field” or fort is perceived as a circle, but the random bombardment is gravitationally on the field or fort or circle’s diameter, the circle or circumference of the fort may be designed or redesigned to reflect that salient fact. If, for example, North/South is in the diameter line of random fire, then East/West is just an algebraic variation of two parts of relative 1/2 pi each. Mathematically, the physical action is on the single North/South diameter. Continuing the example, the original Needle and “action at a distance” prove that relative North/South not only have different random probabilities from each other, they --gravitationally-- have fundamentally different geometric probabilities from the random algebraic possibilities of relative East/West. Such geometric probabilities in a series inevitably develop into a double curve. That is: a series of probability bulges, similar to a snake’s slither.

On a military fortification, such a double curve would generally tend to continuously deflect most incoming artillery balls into a downward semi spiral upon contact. It would also give interconnecting fields of fire from within the fort.

Two matters must now be noted. First: in 1771, Monge was working on random calculus since the latter half of the 1760’s. That was long before Laplace interfered with how randomness was counted.

Second: Monge is considered the greatest geometer of his time and perhaps of all time. He is the “father” of descriptive geometry (drawing arcs and angles). A feature of descriptive geometry is that it can depict three dimensions onto the two dimensions of paper.

Another feature of descriptive geometry is that when randomness is applied, the door opens to Buffon’s original Needle and its random proof of relative 1/4 pi as the universal random average.

If Monge was using calculus and looking at the geometric probability of random incoming artillery fire, it is almost inevitable that, if he hadn’t already used it, he would sooner or later look at the calculus and geometric probability of the original Needle. This is necessarily so since geometric randomness and calculus always lead to the same conclusion of the universal random average: the original Needle’s length of relative 1/4 pi, or a percentage thereof. At that point, Monge would come face to face with the Needle’s price of pi …and its ultimate conclusion and proof regarding “action at a distance.” When applied to military fortification, this may have qualified it as a military secret. Compounding the matter, "action at a distance" was banned. France was a Catholic country and virtually all involved were Catholics!

If the correct random value of “1.” is used, randomness (with any necessary Bayesian adjustments) and calculus always lead to the same conclusion: the universal random average of the original Needle’s simultaneous length and values: 1/4 C and relative 1/4 pi. It also inferentially leads to “action at a distance.”

Monge was a Catholic. On religious grounds alone, he could only pursue it so far. Did Monge associate Boskovic’s work with the Needle’s calculus? Did Monge see the “action at distance” in both? Did Monge use the random probability of “Boskovic’s Curve” in his designs? Did he see the lid coming off a military secret?

On religious grounds alone there is understandably a silent gap on this subject. Yet, no biography of these participants can be considered comprehensive without attempting to read between the unwritten lines of those lives touched by “action at a distance.” Boskovic’s work ultimately includes “action at a distance.” It is supported by random calculus and the geometric probability of the original Needle.

In his fortification design, Monge may have used random calculus to predict random incoming artillery fire …and arrive at the same inevitable geometric probability of the original Needle as Boskovic did for predicting the orbits of comets. Monge may also have used Boskovic’s Curve or the inevitable geometric probability of Boskovic’s “action at a distance.” Did Monge discuss this with Condorcet on prior occasions? Why not?

There is an appearance that the Academy (and therefore Condorcet and Buffon in 1770) would pass delicate questions of touching on religiously banned material to D'alembert, a senior member and a professed atheist.

When Laplace first sought admission to the Academy, his initial approach was to D’ALembert who gave him a question of maxima/minima with calculus. When the matter is random, the question ultimately leads to a world of pi (if anyone cares to look). It also leads straight to both the original Needle and Boskovic’s Curve. Did D’Alembert pose a question to Laplace that had been posed by Monge to Condorcet? Were they all ducking the random truth of pi for political or religious reasons?

Was Laplace willing to put aside religious niceties and address the question? Was this why he entered his teaching job at the Military Academy? Was that job a perk that came with his willingness to do the work on banned material that the others wouldn’t or couldn’t for political reasons? Was this why, twenty years later, Napoleon (who had been mentored by Laplace at the military academy) teased Laplace by asking why there was no mention of God in Laplace’s work?

There now appears intriguing indications that Laplace was a generally competent but otherwise mediocre, if not marginal, mathematician who may have been quietly handed the original Needle by Condorcet and Buffon, and told that if he said nothing and did some special problems for them, discreetly avoiding mention of the Needle and relative 1/4 pi, he could become the “greatest mathematician in France” …and get admitted to the Academy.

In 1770, Laplace submitted the first of thirteen papers to the Academy over the three years he was seeking admission. He finally succeeded within a month after Condorcet was appointed Interim Permanent Secretary.

In 1774, Boskovic published his theory on predicting the orbits of comets.

In 1776, Laplace published a seminal paper, allegedly begun 1n 1774, allegedly traceable back to Laplace's work in 1772. This became the basis of his life’s work. He claimed he had written it before being admitted to the Academy. From this, Laplace put forth the proposition that the randomness of gaming applies to all of science …and could be proven with calculus and quadrature. In the middle of 1776, Laplace used it to suddenly attack Boskovic at one of the regular public meetings of the Academy.

The real motivations for the attack on Boskovic appear unspoken and political. They concerned possible interference by Boskovic with France's possible participation in the American Revolution. It was feared that Boskovic might use residual influence from his diplomatic days. It was clearly feared, at the highest possible levels of French government, that Boskovic could interfere with the anticipated new American Envoy. When the Envoy turned out to be Ben Franklin, the matter became doubly serious. Boskovic and Franklin already had a unique and long standing relationship.

Franklin was in Paris to borrow money to finance the American Revolution.

France wanted to make the loan. More, the French economy was desperate and France needed to make the loan. At stake were lucrative trade agreements …if America won. To that end, France necessarily needed to wait and see if America would likely win. If France made the loan, it would include another act of war against England. That would spill hot coals everywhere.

However, if France made the loan and America (and France) lost, France would never see the loan repaid. That would flat out bankrupt France (noting that kings technically can’t be bankrupted) which was already teetering on economic disaster.

Franklin was welcomed in France on two counts. He was held in awe and respect as a scientist, especially for his experiments with electricity. He was also cheered for his leadership in the war against England. Franklin was already a corresponding member of the Academy and it hosted his stay.

During his long months in Paris, Franklin was known to be having secret talks with British agents. All outstanding issues between America and England were apparently agreed but one. England was willing to give America everything it wanted, including the right to negotiate its own trade agreements …just don’t ask for independence!

Franklin’s reply was that America was willing to give England the valued trade agreements …just give America its independence!

There was an unusual connection between Boskovic and Franklin. They had met years earlier when both were on diplomatic missions in England. Franklin was representing the Pennsylvania Assembly on tax and trade matters.

Boskovic was then a prominent Jesuit. He was on a dual diplomatic mission. He represented Ragusa as well as the Vatican. England and France were on the verge of war over allegations by England of French treaty violations regarding the rearming of French warships in Ragusa. Boskovic was in England to diplomatically resolve the matter and avoid war. He was successful. Boskovic was publicly recognized and thanked. He was also lauded at Britain’s Royal Academy.

Like Boskovic, Franklin was also a corresponding member of the Royal Academy. He was a witness to Boskovic’s success.

Boskovic’s diplomatic achievement inspired Franklin to write and publish a popular article, directed to the King of England. Franklin let it appear to have been written by an old Jesuit. Franklin later admitted that he, Franklin, wrote it. The subject was on the means of persuading the enemy to make peace. The “old Jesuit” was obviously represented Boskovic.

In 1776, Boskovic carried with him a 100 percent success rate as a peace negotiating diplomat who had already averted war between England and France and, in the eyes of the public, brought Ben Franklin (and therefore America) into it on his side.

France could not allow Boskovic to be that influential again. This was clearly the deeper political motivation behind the attack on Boskovic in 1776. The last thing France wanted was to have Boskovic persuade England and Franklin to make peace.

Clearly, a decision was made at the highest levels to ice Boskovic. But …how?

Laplace, who would receive an odorous reputation as a “yes” man who stayed close to the power brokers, stepped up to bat. Or, was at least was compelled to. With a lifetime of religious education behind him, Laplace was a known adept at religious argument. Laplace and those behind him almost certainly knew Boskovic had previously been in trouble with “action at distance.” They also almost certainly knew Boskovic’s methodology of “action at a distance” automatically incorporated parts of the original Needle, including the same geometric probability of the universal random average of relative 1/4 pi that Laplace had usurped as 1/4 C. Laplace and his backers also knew that Boskovic could not use the Needle and its random proof of relative 1/4 pi to refute Laplace’s argument. They also knew Laplace could use the original Needle’s quadrature to attack Boskovic ...without mentioning the original Needle …and no one could refute him by using the original Needle's geometric probability of relative 1/4 pi …without ultimately admitting that “action at a distance” had validity.

Armed with quadrature, Laplace could embarrass Boskovic in the eyes of Franklin and the world.

It was a disaster for traditional random theory when Laplace lost the debate on academic grounds but appeared to win it in favor of traditional random theory. It was a fraudulent victory for traditional random theory. Laplace was allowed to appear to win academically for political reasons.

The world has lived with that fraud ever since. It is the foundation of Wall Street and the insurance and banking and gaming industries.

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History - Part 3

Written by G. T. Hushion. Posted in History

THE HISTORY OF RELATIVE 1/4 PI

This section will conclude an overview of the history of relative 1/4 pi through the French Revolution. Perhaps the greatest difficulty in understanding pi is coming to grips with the hardcore consequences that resulted from Simon Laplace’s concealment of relative 1/4 pi.

We, the entire human race, have lived that consequence ever since. The entire world’s systems of science and education and commerce have been blindly following Simon Laplace’s representation that random quadrature holds the truth of randomness.

CRACKING PI CRACKING RANDOM necessarily gives a negative assessment of Laplace in regards to his inexcusable conduct.

Eleven years before the Terror, Jacques Brissot wrote an entire book that gave a similar assessment of Laplace in regards to his conduct and the negative consequences to science and education!

Brissot and others were shocked by Laplace’s outrageous conduct during both the Boskovic debate and the Brissot interview. Brissot's deepest concern was that the Academy was endorsing Laplace and his apparent malice and incompetence.

Though no one was discussing it, Marat’s work with light deductively supported the original Needle. Therefore, it ultimately supported “action at a distance!” Although the Boskovic debate had concluded two years earlier, Marat’s experiment with light nevertheless supported Boskovic’s side of the debate ...and did it with a conclusion that supported the Needle!

Brissot appears dead on with his assessment of Laplace in 1782. He would have been doubly saddened had he lived to enjoy seeing his dire analysis and prediction come true. However, Laplace had Brissot guillotined with the Girondins in 1793.

Brissot and his book were effectively swept out of significance in the torrent of the Terror. However, before the Terror, its significance cannot be overstated. Laplace had been a central target for Brissot in 1782. In return, Brissot was a central target for Laplace in 1793. These matters of pi cannot be understood without a background review of the circumstances.

When Boskovic complained of Laplace’s conduct in the great debate, Condorcet appointed a committee to investigate. Bezout was on the committee. It concluded that Laplace was technically correct and slapped him on the wrist for his manners. It suggested the parties return to the public arena.

That, of course, was exactly what Laplace's supporters wanted ...whether Laplace wanted it or not.

For Laplace, there was the enjoyment that (at least in his own eyes) the public waas perceiving him as "winning" since Boskovic could not adequately respond (on religious grounds as discussed above).

The committee found a fine point of technicality in favor of Laplace. That is, using Laplace’s quadrature on a set of Cartesian co-ordinates, the four polar co-ordinates of quadrature are fundamentally identical with the four polar co-ordinates of Cartesian co-ordinates. They are commonly called: “North, South, East, West.” With Cartesian co-ordinates, the horizontal axis is usually referenced as "x" and the vertical axis is represented by "y."

Laplace rudely claimed his method of quadrature was better than Boskovic’s methodology. Laplace accused of using “action at a distance.”

The pivotal and controversial academic point was the inherent relativity that is associated with “action at a distance.”

Another digression may be help the reader through the web of deceit and politics.

Random quadrature is just another way of measuring something and/or describing or “graphing” it. The statistical problem with random quadrature is that it assumes two dimensions are being randomly measured. The original Needle separated the two dimensions mathematicaly ...but the seperate parts are not equal. They only appear that way. That is why the original Needle contains such genius. It does not just start by creating two equal crossed axes and four Cardinal poles. The original Needle's equalty came wrapped in relative 1/4 pi, relative to the pi-angle created by gravity's pull. The original Needle did not just seperate the axes we see into two dimensions and four Cardinal poles. It seperated them into the dimension of perception and the dimension of gravity!

The deductions and inferences of the original Needle are that gravity only recognizes the single geometric dimension of gravity's own straight line pull. In gravitational fact, relative to randomness and gravity, in all series of random measurements, only one dimension is being randomly measured.

What of the other dimension that we perceive? What of the cross dimension that we can randomly and statistically prove to exist?

The answer has already been discussed. It has to do with relativity.The relativity only appears with the finesse methodology of "action at a distance."

If "action at a distance" is not used, then the statistics we randomly get will match what we see and what we expect from traditional random theory.

If "action at a distance" is used, the geometric finesse eliminates the cross dimension from consideration.

If "action at a distance" is used, there is a natural question that sooner or later must be asked. This was part of Einstein's EPR challenge: "what about everything else?"

What about everything else that is not a geometric probability? What about the "stuff" that is finessed through?

The original Needle answers that too. Relative to gravity, everything else is just relative 1/4 pi ...just an average ...just a mathematical perception.

The “dimensional” differences between random quadrature and “action at a distance” are why modern science, which is based on random quadrature and four poles, does not, except for the Quantum sciences, contain random relativity.

The problem for the Quantum sciences is that they are still using random quadrature to evaluate the results they get from using "action at a distance." This is why the Quantum results are spookily disjointed from traditional random theory.

Random quadrature automatically delivers the statistics of four quadrant poles and two dimensions. They are without meaningful relativity. Each quadrant or Cardinal pole is already an obvious part of the circle to which it might be considered “relative.”

Each quadrant or Cardinal pole is an end pole of one of the two dimensions that comprise a circle. The connection is obvious. A circle is already made up of quadrants representing two dimensions. This is traditional random theory. The statement that a quadrant is “relative” to a circle is first grade obvious and gravitationally meaningless. Circles and “games” are only algebra in the first instance.

Traditional random theory cannot be reconciled with the geometry of “action at a distance.” It is only with "action at a distance" that relativity becomes meaningful. The finesse methodology simultaneously relates two apparently separate events: algebra on a circle and geometry on a diameter. Every random measurement holds an algebraic value around the circumference of the field (any pocket on a roulette wheel) ...and a geometric value along the field or wheel's pi-angle.

Action at a distance proves that a circle of four quadrants is just an illusion. Action at a distance statistically proves only three poles are rotating. The proof comes through the relativity of matters that otherwise have no apparent connection.

Understanding relativity is not difficult. It is just not obvious.

The proof of relativity --the geometric relativity that eluded Einstein-- only appears as a statistical matter of geometric probability. It can only be mathematically found and resolved with the geometric finesse inherent in “action at a distance.”

The relativity is between the algebra of the perception of a circle (or “game”) …and the geometry that gravity is randomly delivering on a pi-angle. The relativity only appears statistically as a geometric probability. Apparently, randomly and mathematically, only the original Needle can geometrically satisfy this.

Relative to gravity and randomness, only the original Needle’s relative length is both algebraic as 1/4 C …and geometric as relative 1/4 pi. It is only proven with “action at a distance.” It then only makes mathematical sense in a world comprised entirely of pi.

In that world of pi, it is pi itself that is paradoxically eliminated from the equation by the geometric finesse. This leaves a world of relative geometric probabilities between the geometric divisions of pi.

The term “relativity” is also meaningless when applied to 1/2 C. Like a quadrant of 1/4 C, a semi circle of 1/2 C is already an obvious integral part of the circle.

The term "relativity" becomes meaningful when 1/2 C is valued as 1/2 pi. The end poles of 1/2 pi are already a natural part of the pi-angle (or "diameter”). When 1/2 pi is reached with "action at a distance," the random values change. The Cardinal poles on the semi-circle are the same size when they are not measured with "action at a distance." The Cardinal poles on the semi-circle are not the same size when they are measured with "action at a distance." As discussed within, the difference is thirty degrees of arc. With traditional random theory, a random event is expected to land in 90 degrees of arc. With "action at a distance," the same random event is predictable in 60 degrees of arc.

The term “relativity” has double significance when 1/2 C is considered as relative 1/2 pi. Here, with “action at a distance,” relative 1/2 pi is relative to relative 1/4 pi over three random measurements. This is so since the unit of measure is relative 1/4 pi. This is the length of the original Needle. It is also relative to the diameter through 1/2 pi’s relativity with 1/6 pi. That is: the relativity of a Cardinal pole (as the end pole of a semi-circle of 1/2 pi) to a relative pi-angle pole (as a geometric probability of 1/6 pi).

In every series of random measurements, relative 1/2 pi is also the relative length of the relative cross radius. This was the deductive proof of the original Needle. That randomly values the cross diameter as: pi.

This is evidenced by dividing a quadrant (the universal random average of relative 1/4 pi) of a roulette wheel by its radius. The quotient is always the length of the relative cross radius: 1/2 pi.

The term “relativity” does not need to be applied to 1/6 pi when it is relative to life’s perceptions. This value of a relative pi-angle pole is already integral, as a matter of geometric probability, to both the pi-angle that randomness and gravity are delivering and the circle of algebraic possibilities that comprise the “game.”

However, relative to gravity’s pi-angle over three random events or measurements, relative 1/6 pi is relative to the pi-angle base or “diameter base.” Here again, the spookiness appears. The value of the pi-angle base may be inferred by its value with “action at a distance” in a world of relative pi.

Here, the spookiness continues.

The value of a pi-angle base, as one end of a pi-angle, would theoretically appear at first blush to equally match the value of its relative pi-angle pole or at least a Cardinal pole. An example is that to all appearances on a circle, North equals South. If South is a Cardinal pole, then it would appear North is a Cardinal pole. If, with "action at a distance," relative North is the geometric probability of a relative pi-angle pole that holds a flat bet .16666 advantage, then it would appear South should be of similar size. Such, however, is not the random case.

The necessary lack of relativity (since it is only the first in a series of three) in a pi-angle base places its value as precisely one half of that of a relative pi-angle pole of 1/6 pi. That is: a pi-angle base is a 1/3 probability on the natural pi-angle of 3 poles and, since its not yet relative, it is still a 1/4 possibility on a circle, relative to the “game.” That is: 1/12 pi. This is discussed within.

The flat bet advantage “payoff” is the relative difference between 1/6 pi and relative 1/4 pi (or between 1/6 pi and  relative 1/2 pi: the answer and flat bet advantage is the same) factored by two possible directions.

Does this sound complicated? It is not! It is only a matter of admitting that, relative to randomness, we and our random measurements are just a perception of so much relative pi. Perhaps this is why, in modern science, the .08333 flat bet success of Quantum Mechanics is ascribed to “hidden variables.” In gravitational geometric fact, nothing is “hidden.” It is just a matter of perception. The real problem is that “perception” introduces too much information into the attempt to understand the simplicity of randomness and gravity.

The original Needle mathematically proves that, relative to the randomness of gravity, life's perceptios are pi. It proves pi is the Center of Rotation. The geometric finesse eliminates the Center of Rotation from a series of random measurements …and therefore pi and the mathematical involvement of life’s perceptions is also eliminated.

The original Needle, and its extension with the geometric finesse of “action at a distance,” reduces a field of two dimensions and four poles to a field of one dimension and three poles. This reveals the hidden variables.

It is we and our perceptions who are the hidden variables. The geometric finesse eliminates us and our perceptions from the equation.

Spookier and spookier!

Relative to gravity, by the proof of the original Needle, perception is pi. Gravity doesn’t recognize life or perceptions. Relative to gravity, we and our perceptions and games ...are the pi!

Action at a distance eliminates pi and ourselves and our perceptions and “games” from equations of randomness. It replaces everything with a stream of events of relative 1/4 pi each. What remains are the relative geometric probabilities of pi’s geometric divisions. These hold the geometric truths of randomness. This is what Laplace knew and concealed.

By incessantly using quadrature to measure randomness, the relative geometry of the random gravitational truth is a mathematical impossibility. We are the pi. With our random measurements, we (pi) and our algebra (pi) and our measurements (pi) are forever measuring and receiving what we perceive (pi) and what quadrature (pi) and our traditional random game theory (pi) incestuously deliver: the algebra of pi.

It requires a mental jump out of the circle of pi to accept the relative geometry that gravity is randomly and paradoxically delivering through three measurements of relative 1/4 pi when using "action at a distance."

The random geometric truth that contains relativity is only statistically apparent with “action at a distance.”

It only makes sense with relative 1/4 pi as the unit of measure. With it, gravity delivers the random geometric relativity that defines itself by the random proof of the original Needle.

The proof is found in the relative geometric relationships between the geometric divisions of pi. Paradoxically, it is only found after pi and the experimenter (and/or observer) are eliminated from the equation.

The elimination comes through the geometric finesse of “action at a distance.”

The original Needle deductively proves the COR is pi. Action at a distance finesses through the field or game or object’s COR. That is: the geometric finesse eliminates the COR and pi –and our perceptions– from the event. This allows relativity to emerge with the randomness of geometric probability.

We can only “see” the geometric probability through statistics.

Such statistics spooked Einstein. Over three random events, it changes 1/4 pi (or 1/2 pi or pi depending on perception) to the relative flat bet advantage of relative 1/6 pi!

When we measure randomness with quadrature, we only get our perceptions of two (or three or more) dimensions handed back to us in a statistical perception that tends to automatically display four Cardinal poles in every series of random measurements. This is the basis of traditional random theory. The algebraic structure of quadrature algebraically delivers the structure of what we perceive: an algebraic circle of 4 algebraic Cardinal poles. Any unit of measure may be used: “microns” or inches or meters or light years or pockets or card values, etc..

However, in traditional random theory, the unit of measure is algebraic (anything you want) and can only be made relative to itself through more algebra. That is: the algebra of 1/4 of a circle, algebraically multiplied by four, only completes the algebra of a circle. That makes any perceived mathematical relativity meaningless as just a perception of algebra. That is: random quadrature does not directly address the geometric nature of that which is being randomly measured.

For example, roulette is a “game” that properly has four natural quadrants (as per the original Needle). On a 38 pocket wheel, a ball lands in a pocket that is approximately one inch wide, on a wheel that is approximately three feet around, that is made with so many different materials, each of such and such a particular size and weight and resiliency, etc.. Each of the foregoing elements, including the “game” and the “odds” is determined with quadrature. In modern science to date, each additional factor will also inevitably be measured with quadrature. Most importantly, the "game" will also be a game of quadature played on a wheel of quadrature. The problem with quadrature is that it only measures more quadrature. Random quadrature confirms our perceptions ...but relative to gravity, random quadrature only measures whatever it is perceived as measuring ...and all of it is just a perception.

When randomness is measured with “action at a distance,” the dimensions we perceive --that are only algebraic perceptions of random quadrature in the first place-- are eliminated by the geometric finesse. This leaves the measurement geometrically structured to match the structure of gravity’s pull on the single dimension of a pi-angle. However, to make mathematical sense, the original Needle’s length of relative 1/4 pi must be used as the unit of measure. When it is made relative through 1/2 pi over a series of three random events, the magic appears in the random transformation of 1/4 pi into 1/6 pi.

Using quadrature, the underlying, gravitational, geometric nature of randomness must be inferred with a psychological leap. It cannot be deduced. The problem with random quadrature is that there is nothing to be deduced that isn’t also measured with quadrature. This is mathematically incestuous. There is no random geometry with quadrature. It is just algebra describing more algebra to the algebraic “geometry” of our perceptions.

Only we see shapes and blobs and circles and games. Gravity doesn’t.

Relative to gravity, we and our shapes and blobs and circles and games are all ...just so much pi!

The closest the algebra of random quadrature comes to geometric randomness is the original Needle. That is: the algebraic possibility of 1/4 C equals the geometric probability of the algebra of relative 1/4 pi, relative to the diameter.

This is where “action at a distance” enters.

Mathematically, with “action at a distance,” relative to randomness, the underlying premise of a geometric finesse automatically and geometrically matches the geometric structure of gravity’s straight line pull along the pi-angle or “diameter” of the object or game or field being randomly measured (algebraically factored as may be necessary by any Bayesian adjustments and/or relative 1/2 pi as described herein relative to a sphere). If mathematical sense is to be geometrically made of randomness and/or “action at a distance,” it is only possible if the unit of measure is relative 1/4 pi.

Returning to this history of pi ...therein was the taunt of Laplace to Boskovic.

Laplace knew Boskovic could not admit that his random unit of measure was relative 1/4 pi. The reason….?….

….For Boskovic, trying to claim a flat bet random .08333 advantage would mean risking blasphemy by necessarily admitting the ultimate natural conclusion that, relative to randomness and gravity …everything else is just some version of pi ...that is randomly and gravitationally proven with "action at a distance!"

Perhaps just as significantly, it would appear from the historical timing that Boskovic may have usurped the original Needle between 1733 and 1734, exactly like Laplace had usurped the original Needle between 1770 and 1772!

There were some differences between their apparent respective usurpations. Boskovic apparently took the original Needle’s geometric truth of relative 1/4 pi and its inherent .08333 advantage and plugged it into Newton’s theory of comet prediction, presumably for scientific reasons. However, he couldn’t tell anyone for religious and/or political reasons.

Laplace usurped the original Needle’s algebraic truth of 1/4 C and its inherent quadrature (the basis of traditional random theory) and used it to further his career. He concealed the original Needle and it proof of relative 1/4 pi so that close examination of its then recent development would not expose him as a front man instead of the "greatest mathematician in France."

Random quadrature matches life’s perceptions …but automatically does not mathematically allow for the geometry of random measurements relative to the underlying gravitational nature of that which is being measured.

The problem concerns the random value: “1.”. If Quadrature is used, the radius of a field is necessarily valued as “1.”. From there, everything is valued in any manner, shape or form in which traditional random theory and values apply, which is virtually everywhere and with everything. Even the values of a radius may be changed.

However, with the original Needle and “action at a distance,” the only possible random value of a radius is: “.50″ …and that fundamentally changes the random measurements of everything.

Action at a distance does not match life’s perceptions of randomness. However, the geometric finesse of “action at a distance” does mathematically find the random geometric nature of gravity! This automatically delivers a .08333 flat bet advantage over quadrature!

The same advantage is .16666 if the measure is couched in gaming circumstances. However, the only random geometric condition that mathematically satisfies “action at a distance” and explains the flat bet random geometric advantage …is when the random unit of measure is: relative 1/4 pi.

The religious and philosophical problems attending relative 1/4 pi ultimately lead to the conclusion that everything random is just random pi! To many people, that spooky truth would be irreligious!

Yet, relative 1/4 pi --and all the mathematical and philosophical consequences that flow from it-- must be the universal random unit of measurement if “action at a distance” is to make mathematical sense and if randomness is to be understood relative to gravity and random measurements.

In the 18th century, proposing “action at a distance” as a legitimate methodology could have been a career ending proposition for any scientist to hold, especially a priest, ex Jesuit and diplomat, such as Boskovic. It could be equally career ending for prominent officers of the Paris Academy of Sciences, such as Buffon and Condorcet. They may have held "Permanent" titles, but it was the king's Academy and he could pretty much do or pressure what he wanted.

Relative 1/4 pi was the real unspoken issue between Laplace and Boskovic in 1776. They both apparently knew it and neither could openly admit the deeper truth.

Laplace was wrong in his analytical conclusion. Boskovic would have pointed this out. Boskovic would have certainly made his point with more vigor and depth in a back room a few minutes later. There, Boskovic may well have also pointed out that Laplace had usurped the Needle to obtain his quadrature.

Simply looking at who was academically right and who was wrong, Boskovic “won” the debate. He especially won it in the back room. Nevertheless, from the back room, there was no one, especially Boskovic, who was going to publicly argue the true validity of “action at a distance” at the expense of life’s perceptions and their career. Boskovic was also not going to admit any usurpation of the original Needle’s length of relative 1/4 pi.

Boskovic could only admit his methodology was just a different way of measuring something.

As for the public…. Methodology? Orbits of comets? Action at a distance? Acceleration? Vectors? Angles? Geometry? Who knew what they were talking about …but wasn’t it fun to watch them go at it and see the old man squirm?!

Laplace continued his taunts and attack from approximately June, 1776, to September, 1777. Boskovic then left France. To the public, that left a muddled appearance that Boskovic might have somehow “lost” and Laplace might have somehow “won.”

Doctor Jean Paul Marat entered the scene months before the debate ended and became friends with Ben Franklin. Marat contrived to have Franklin lead an Academy commission to review Marat’s initial experiments with heat. It was a good review.

Marat’s subsequent experiments with light were tacitly and deductively coherent with the original Needle …and therefore sympathetic to Boskovic’s side of the recent debate! These were basic matters of mechanics and gravity. Unfortunately, they were also matters of politics.

Marat claimed light was a perception that occurs at a tangent relative to the object it touches.

By the proof of the original Needle, that relativity sets up the tangent event as relative 1/4 pi and the relative cross radius as 1/2 pi. This agrees with the original Needle as a perception (mathematical average) that occurs at a tangent (relative 1/4 pi) relative (through 1/2 pi) to the Center of Rotation or Center of Mass of the pi-angle of the object it touches.

Marat also correctly understood the seriousness of the mathematical consequences of his work. He wrote his belief that the Academy was rejecting his work since otherwise they would have to recalculate every calculation ever made!

Laplace’s biographers disagree as to whether he actually received an academic degree, but after his outrageous interview with Brissot, Laplace’s reputation was effectively a time bomb that could reduce the “greatest mathematician in France” to little more than a corrupt night bookkeeper in a border brothel.

Laplace’s first published paper contained an error he "blamed on the printer" ...and at which many winked. One of his earliest papers to the Academy contained material and ideas lifted from two other mathematicians, one of whom was sitting on the very committee reviewing his work (noting that Condorcet was the other committee member).

Laplace’s major paper in 1776, which he claimed as part of his work from 1774, and claimed was based on work he did in 1772, and on which he based his life’s work, was effectively shot down in the Boskovic debate. Laplace’s work clearly grew from the original Needle. It now appears it was never his work in the first place.

Laplace claimed the random possibilities of gaming may be applied to the random mechanics of the universe.

Laplace’s usurpation of the works of others and adapting them to quadrature became part of Laplace’s signature contribution. His most significant positive contribution is considered the “Laplace Transform.” It changes linear measurements (let the reader plug in the original Needle and Boskovic’s finesse methodology) to quadrature. It also appears to have been developed by Buffon and quietly handed to Laplace upon Laplace's manipulated admission to the Academy.

There is nothing wrong with quadrature, but it must be understood as only representing what is perceived. Other than being the "pay off" in gaming, quadrature becomes meaningless when understood geometrically in terms of the original Needle’s relativity to the randomness of gravity. Through the geometric finesse in "action at a distance," quadrature is jumped and eliminated. Therein is the flat bet advantage …and Laplace (and/or his backers) knew it!

Laplace’s concealment of his usurpation and burial of the original Needle was a major part of his terrible legacy to the world. The system of education we enjoy today was forged in the smithy of that hell called the Terror. Now, as then, its interior is rotten with a stain of academic prejudice that is as strong now as when established by Laplace two centuries ago.

Laplace’s contamination of science and education was well discussed in De La Verite. In 1782, Laplace’s charlatan approach become a blueprint for the next two centuries. Amazingly, that was twenty years before Laplace got serious and committed mass murder to make his point. Laplace’s prejudice and mediocrity were described in Brissot's 360 page book. It was effectively dedicated to that specific subject: Laplace’s bad faith mediocrity and the evil consequences that the Paris Academy of Sciences inexplicably were allowing to occur.

Brissot’s deepest concern was that the Academy appeared to actually be adopting Laplace’s lack of academic integrity and his malicious dismissals of anything new that might threaten his (and/or the Academy’s) status quo.

The roots of De La Verite came from the Brissot/Laplace interview regarding Marat. However, the seeds of the interview and the book were sown in the Laplace/Boskovic debate.

Laplace's rude behavior surely shocked many. As well, the fact that he was reading from notes and still being conclusionary ...was surely a puzzlement as well. So too, the appearance that he was somehow "winning" the debate.

The roots of the “debate” were sown with Laplace’s usurpation of the Needle in 1772.

Here, another digression is necessary.

The year 1770, was in an age of mathematical discovery. However, "action at a distance" was banned by the Catholic Church. So too were the works of Buffon.

France was a Catholic country and all the officers and leaders of the Academy were Catholic. For political and career reasons, they could not be seen working with “action at a distance” or delving into pi through the Needle. Yet, these were serious matters with serious consequences, perhaps military consequences as well.

The evidence points to two possibilities concerning Laplace’s usurpation of the original Needle. First, that Laplace was a generally competent but mediocre mathematician who independently stumbled across the Needle but said nothing.

The second possibility makes more sense and has more evidentiary support. That is, Laplace was a mildly competent mediocre mathematician with but a useful and singular outstanding asset. He was an ambitious hard working atheist without morals who was willing to be a front for the works of others ...and who was apparently willing to wear a cleric's robe to establish credibility ...and was willling to quietly work with banned materials ...and take any heat that came down.

For political and/or religious and/or military reasons, it appears Laplace was quietly handed the Needle by Buffon and Condorcet. Laplace would have understood he was to quietly answer special mathematical questions from time to time. He would have been told that if he used it well …without ever mentioning the Needle or discussing its random geometric probability of relative 1/4 pi …he could be the greatest mathematician in France.

In this regard, there may have been one or more people behind Buffon and Condorcet, at least during the Boskovic debate. A short list would include Lavoisier, Bailly and Bezout. Monge may also have been tangentially involved, but probably no others.

It may be noted these men were all were Catholics. It appears they quietly handed the Needle to Laplace because they found a mathematician willing to snub religion and take it on. In this regard, Laplace had another valuable asset: he was without integrity. Although apparently an atheist, he was willing to wear a cleric's garb to establish his credibility!

Bezout and Monge may have been included in this small cadre because the subject of geometric probability appears to touch (and may have been touched off by) a military secret.

Bailly may have been included because he was arguably the Academy’s foremost astronomer and the ostensible subject of the debate was predicting the orbits of comets.

Lavoisier may have been included for several reasons. He was the scientific powerhouse in the Academy. He would soon enjoy fame as the “father” of modern chemistry. He was also France's leading tax collector and there was a considerable amount of money perceived to be at stake in the form of trade agreements ...if Boskovic didn't persuade Ben Franklin to make peace with England.

Buffon had obvious reasons. Buffon is considered a non mathematician (although he now appears as a superior mathematician than Laplace). Buffon may or may not have understood the full consequences of his Needle. However, if Buffon did not understand the depth of his Needle, Buffon was fully aware of the debate issues and its depth of relative 1/4 pi. Even in this scenario, Buffon would have known that neither Laplace nor Boskovic could introduce relative 1/4 pi as the real subject of the debate.

Neither Laplace or Boskovic could argue the geometric validity of relative 1/4 pi (from Laplace) or 1/6 pi (from Boskovic) without inferentially or directly supporting “action at a distance.” Action at a distance left the point of the Needle dangling over their heads like a blade.

In this scenario, Buffon and Condorcet, alone or with friends, were not only clued in when Laplace attacked Boskovic, but may even have designed the attack.

Then came Marat!

Marat was forever an unexpected ingredient. His work supported the original Needle. That work, if followed to its ultimate conclusion, threatened to expose the geometric truth of relative 1/4 pi. In that case, there was a good chance Laplace’s facade would crumble.

After the Marat/Academy confrontation exploded into the Revolution, it was not just Marat’s work that threatened Laplace. It was Marat himself. Throughout the Revolution, until his death, Marat’s influence grew steadily. He was calling for heads and his wish was on the verge of coming true. Marat also had a good track record of violence stretching back four years earlier (with involvement in a massacre or two in between) when he banged the tocsin to call citizens to the Bastille!

Within this mix were the motives for Laplace’s conduct in the Revolution. If there was ever incriminating paperwork supporting this analysis, such pages are long gone. In this regard, it must be noted again that during the Terror, the papers and records of the Academy, and the slaughtered scientists (most especially including their memoirs) were immediately seized and delivered to Laplace. As well, Laplace was Chief Examiner of Artillery. Military records were also in his control. Any incriminating paperwork against Laplace would have been long destroyed.

The circumstance of precious few documents, due to their intentional destruction in a cover up of judicial murder, concealed within a larger crime (mass murder through the Terror) necessarily leads to a scanty legal analysis such as this ...wherein wispy circumstantial evidence must sifted.

Laplace’s statements of his work and the history of his times no longer hold credibility. So too, all traditional histories of the cause of the Terror are now put to the test.

By historical agreement, there is sufficient history as to what appeared to happen. The blame is generally put on Robespierre. However, there is precious little history as to the root cause that motivated Robespierre or who, if anyone, was really behind him.

Georges Couthon was Robespierre’s most intimate right hand man. It is inconceivable that Couthon would speak to the issue of executing the Girondins, using the evidence he used, without receiving it from or through Robespierre. A clear picture of who was behind the evidence starts with the question: which mathematician told Robespierre (or Couthon) he had mathematical proof of a connection between the Girondins and Charlotte Corday?!

Whoever gave that “mathematical demonstration” delivered a knowing death knell for the Girondins, especially to Jacques Brissot and Jean Condorcet!

What mathematician could or would do that? In 1793?!

There were apparently only two leading probability experts working with social statistics in Paris in 1793: Condorcet and Laplace.

Such a mathematician would have to be nimble with probability ...like Laplace. Such a mathematician would have to be nimble with social statistics ...like Laplace. Such a mathematician would have to be knowledgeable about the parties and the area ...like Laplace. Most of the Girondin’s were actually from the Caen area ...like Laplace. More specifically, Corday bragged she was from Calvados ...like Laplace. Nor would Couthon use the mathematics of just any old mathematician who might be knowledgeable about probability and social statistics and had an ax to grind. In advocating mass murder of elected government representatives, Couthon (and/or Robespierre) would want the mathematical figures to come with credibility ...from at least one of the great mathematicians in France, if not the greatest ...like Laplace.

Condorcet, with the alleged help of Laplace, is considered the father of the merger of probability and social statistics. Condorcet is credited, with the alleged help of Laplace, with using probability theory to stabilize and analyze the stock market and actuary statistics. Prior to Condorcet (and Laplace) the stock market was chaotic with mathematically unwarranted speculation. Condorcet --with the alleged help of Laplace-- is very much the “father” of the introduction of probability and social statistics, including the stock market and actuarial tables.

We may be certain that Condorcet did not send a note to Couthon to explain that there was a mathematical connection between Corday and himself (Condorcet) and therefor he (Condorcet) should be executed!

Brissot was deeply concerned with social matters and was familiar with social statistics. He knew Condorcet. Both men worked to end slavery in France. Both fought and argued for woman’s rights. Brissot was intimately part of the “Girondins.” They were even originally named after him: the “Brissotins.” Brissot certainly did not give Couthon or Robespierre his mathematical assessment that he and the Girondins were in a conspiracy and therefore should be executed!

There is an incomplete historical picture of the French Revolution and the involvement of the academic masters. The involvement of academia did not stop with the Terror. This is expanded in CRACKING PI CRACKING RANDOM. What happened in the rapid evolution of modern science and education after 1793, was strangely understood and predicted in “De La Verite.” It was apparently written by Brissot while imprisoned in the Bastille on a libel/slander charge.

Jacques Brissot was solidly part of the intelligentsia. He was a respected journalist whose focus was social conscience. He was popular and was early elected as a representative in the new government. When the Bastille fell, the keys were first handed to Brissot. He was soon leading a loose group of independently elected representatives who generally agreed with and supported him. They were loosely and generally known as the “Brissotins.”

Marat was a loose cannon. His attack on the Brissotins (soon to be called the “Girondins”) and the results it generated, brings this history of pi full circle as to Laplace’s motives and opportunity for instigating the Terror.

The key to Laplace’s opportunity appears to be Napoleon.

On June 2, 1793, it is inconceivable that Francois Hanriot would use National Guard artillery to force the Girondin’s from the Convention without the ultimate consent and direction of Robespierre and Laplace.

As previously discussed, Laplace’s intent was to ensure Condorcet, Bailly, Lavoisier, Brissot, the Duc d’Orleans and Buffonet were killed under the Law of Suspects. It now appears the Law of Suspects was enacted, through Ronespierre, by Laplace. Laplace’s intent was to have these six specific men killed under the Law. His motive was to silence the witnesses against him. To that end, their papers were also seized and delivered to him. Laplace needed to ensure silence concerning his entry into the Academy as well as the truth behind the 1776 debate. As well, to ensure silence from Brissot concerning the interview at the heart of De La Verite.

The Laplace/Brissot interview itself was fairly short. From it, Brissot accurately saw the big picture without necessarily having full grasp of the technical issues. He knew something was fundamentally wrong with Laplace’s conduct in science and education.

The real issue to Brissot was how and why the Academy was supporting Laplace. His book was an indictment of the Academy on two matters that Brissot saw as one and the same inasmuch as they each revolved around Laplace and occurred back to back. They were: the Laplace/Boskovic debate and the Laplace/Brissot interview concerning Marat.

In De La Verite, Brissot could not identify individuals for fear of prosecution for libel. He later identified himself and Laplace as the interviewer and interviewee. In publishing the interview, he refers to himself as "Skeptic" and Laplace as "Geometer."

Brissot starts his book by identifying the philosophical and educational problems confronting a generally illiterate society. He discusses, with patient logic, how it is necessary that science consider new ideas.

Brissot takes the Academy savants to task for ignoring and/or derailing any evidence that contradicts theirs. Throughout, he uses various examples (besides the case example of Marat) that repeatedly include a system for measuring comets. This, of course, was what the notorious Laplace/Boskovic debate was all about.

As he establishes his position with reason, Brissot considers the broader spectrum of social interest in science and public education. In his book, he was constrained about naming names but otherwise pulled no punches. He pointed to the savants of the Academy as wrongfully following Laplace’s path of ignorance and mediocrity.

Brissot generally describes the savants as despotic, ignorant, mediocre, and having unwarranted arrogance. He does not hesitate to use the word “charlatan.” He points out that in support of themselves (referring of course especially to Laplace) they use particular mathematical systems in particular pedantic ways to obscure the truth. He discusses how too many academics write quick papers for a quick buck. He discusses the importance of new ideas and how the powerful established savants don’t want to hear them. He expressly points out the danger of spreading such ignorance through mis-education.

Brissot repeatedly points to the absurdity of a Geometer savant (Laplace) deciding off the top of his head to declare the well thought out, detailed and documented, work of a physician scientist (Marat) to be imbecilic just because he, Laplace the Geometer, didn’t agree with its conclusion!

Brissot uses the interview as the case example of academic ignorance and prejudice. Iin this regard, it is worth noting that nothing has changed one iota in two and half centuries: the established academic community in 2011, appears as irrevocably committed to the identical ignorance and prejudice concerning these matters as Laplace.

De la Verite is wrapped around an interview between a Skeptic and a Geometer. Brissot later clarified that he (Brissot) was the “Skeptic” and Laplace was the “Geometer.”

“Le Sceptique: Vous ne l’avez ni vu, ni lu, ni entendu, & vous prononcez! & vous le traitez d’absurde & d’imbecillie!”

[You have not seen him or read or tried to understand him and you call him absurd and imbecilic]!

“Le Geometre: Grand dieu! Que deviendrions nous, s’il fallout tout examiner!"

[Good God! What will become of us if we must examine everything]!

With this summation of his intellectual philosophy, the greatest mathematician in France kicked off modern science and education.