History - Part 1
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 .


