"You can't calculate probabilities with just algebra. The geometry must be taken into account."
Comte George Buffon, Essay on Moral Arithmetic
UNTANGLING THE QUANTUM ENTANGLEMENT AND PARSING "ACTION AT A DISTANCE"
Cracking Pi Cracking Random introduces the ability to predict the outcome of any random series of anything with a flat bet advantage:.16666.... . It appears with the solution of six deeply interconnected mysteries spread over 4 centuries: pi, randomness, the relativity in "action at a distance," the original Buffon Needle Problem, the French Revolution's Terror, and the entanglement or "hidden variables" of Quantum Mechanics.
It may be fairly said the world's technology is four centuries behind in development. That is when the Vatican first suppressed "actio in distans."
The essentials of these matters were known at the Paris Academy of Sciences in the 18th Century before being lost in the Terror. One reason they have not since been fully recovered is not because they are complicated. Rather, exactly the opposite. They have not been fully recovered because they are so simple. Super simple! This is the super simple grail envisioned by Albert Einstein. He predicted it would be simple, random, geometric and contain relativity.
There is nothing physical about the entanglement. There is nothing limiting the matter to small particles. Its first organized theory (if you don't count Francoise DuLaurens) came from Isaac Newton. He used the methodology of "action at a distance" to predict the random orbits of comets.
The difficulty for modern scientists is not academic. Rather, it appears psychological.
The problem for scientists is that the utter simplicity of "action at a distance" comes with a price that few professionals can afford. The cost is a mental admission that, relative to randomness, by the proof, deductions and inferences of the original Needle, we and our perceptions are the entanglement ...and the entanglement is pi. By clear deduction and inference, relative to a series of random measurements, we and our measurements and statistics and quantum theories and perceptions and entanglements are all ...just so much relative pi in rotation.
Measure something random one way and you get life's perception of traditional random expectations on the circle or circumference of the field, object or game. This method is called "Monte Carlo methodology." It considers each and every random event in a series and can be used to deliver analytic results. Its featured dynamic is quadrature. It matches life's perceptions and world wide education. The perceptual icon is a randomly measured circle with two dimensions: diameter and cross diameter. This matches life's expectations and perceptions and comes complete with statistical confirmation. This is the foundation of traditional random theory. This was the path of Albert Einstein.
However, measure randomness another way and you get the randomness that gravity is actually delivering on the field, object or game's single diameter dimension. This methodology requires a geometric finesse. The finesse is the omission of the middle measurement. As a methodology, it is often called "action at a distance." Take three random measurements and eliminates the middle measurement from considersation. This allows the third measurement to be predictable as the relative third pole on a randomly measured 3-pole diameter ...without the statistical inference of the algebra of pi. That is, without the statistical interference of the Center of Rotation.
Without a clear understanding of the differences between the methodology of Monte Carlo and the methodology of "action at a distance," everything appears tangled. The entanglement starts immediately with the value: "1." in a series of random measurements, should the radius or the diameter of the field be valued: "1."?
This is followed by a necessary mental grasp: gravity doesn't recognize "perceptions."
This is inevitably followed by a necessary mental admission concerning pi.
By the proof, deductions and inferences of the original Buffon Needle Problem (1733) every "game" on a circle is of two dimensions ...and the cross diameter dimension is just the algebra of random mathematical averages ...just relative pi in rotation. Only the diameter dimension has random gravitational reality.
Let it be given that every randomly measured field, object or game has only one diameter. Let it be given that every random event is on a diameter.
Let it be given that every rotating or randomly measured diameter has three poles: one end, the Center of Rotation (COR), the "other end."
Let it be given that the COR averagely tends to randomly appear once for each end pole (otherwise the "game" isn't fair).
Such double appearance by the COR gives the statistical result known as quadrature. That is: the statistical appearance of the four poles of two apparently equal dimensions. Let them be ready referenced as: North, South, East and West. Each pole is an equal possibility: .25 . This is traditional random theory. This matches life's perceptions of two dimensions: diameter and cross diameter.
Let a random event land anywhere. For easy reference, call it "South." It is given that it is at one end of a diameter of three poles often referenced as: South, COR, North.
The lock on the mystery of quantum entanglement is relativity. It involves the dual nature of relative probabilities on the single straight line dimension of a diameter. On the one hand, it would appear obvious the statistics point to the three poles of a diameter. On the other hand, on a circle, the same statistics can point to equal possibilities on the two dimensions (diameter and cross diameter) and four poles of a circle.
The key to the lock is the original Buffon Needle Problem. Its dual relativity sets up "action at a distance." That opens the door to the prediction of randomness.
The original Needle's permanent length is a point of random convergence of the relativity of geometric probability, relative to the diameter, meeting a point of algebraic possibility, meaninglessly relative to the circle or circumference of the field or "game."
The original Needle demonstrated its unvarying length as the average of two average random measurements. That is, the universal random average. The Needle's length is a quadrant (1/4 C) of the circle subscribed by the rotating or randomly measured ends of a diameter. Relative to gravity's randomness, a "circle" is simply the algebra of the universal random average multiplied by 4. That is: C = 4 (1/4 C). Relative to the circle, the original Needle's relative length of 1/4 C is meaningless. It is already a part of the circle. This was Einstein's relativity. Since an average is just a mathematical perception, the Needle's length is also just a relative perception.
However, the proof of the original Needle's length as 1/4 C, is also the proof of its length as relative 1/4 pi, relative to the diameter. That relativity is not meaningless. It is given life by its relativity to the COR of the diameter. That is, divide the metric "length" of the cross radius into the metric length of the quadrant. In all circles, the quotient is forever: relative 1/2 pi. If one cross radius is 1/2 pi, so is the other. Therefore, relative to the diameter, relative back to the circle and our perceptions, the COR is pi relative to the circle ... while the COR is also .50 relative to the diameter. The same results when it is understood a circle is just a series of end points of radii extending from the COR. Since a circle is pi, relative to a diameter, the COR is pi relative to the cross diameter. Relative to both the circle and diameter, the relative COR is still just a mathematical average. Just a perception!
Since the COR is only the perception of an average, it may be legitimately eliminated from statistical consideration in a series of random measurements seeking geometric probability. That elimination of the algebra opens the door to the geometric probability of "action at a distance." It is a geometric finesse in which the third pole of a diameter may be predicted as a geometric probability of the relative third pole, at the third trial, of a three pole diameter ...without the statistical interference of the algebra of averages that statistically define the relative COR.
That is, take three random measurements. Only the third is predicted. Let the second event happen. Eliminate the second event from statistical consideration. That clears the slate from the algebra of the COR. That opens the door for a clean prediction of geometric probability as the "distance" between one end of a diameter and the "other end." This methodology geometrically matches the structure of the prediction or "bet" to the geometric structure of relative probability between the diameter end poles. This is the "distance" in "action at a distance." It is the far side of gravity. It allows the "other end" of the diameter to be randomly predicted, at the third trial, as the relative and opposing third pole of a three pole diameter, with a geometric probability of .33333.... .
Traditional random theory expects and "pays off" each opposing pole as though it was a quadrant pole with a .25 algebraic expectation. The difference is a flat bet advantage (.33333.... - .25 = .08333....). That is the advantage in Quantum Mechanics. This is the "action" in "action at a distance."
There is no metric aspect of the "distance." It is a relative distance from one end of a diameter to the other. It is irrelevant what the metric distance is. The relative distance from one end of a diameter to the other is identical in all series of random measurements, whether the random measurements are of the diameter of an atomic particle or the diameter of a galaxy.
The "entanglement" is perceptual.
Monte Carlo methodology delivers an appearance of randomness on the two or more dimensions of a circle or circumference of four equal poles.
Action at a distance delivers randomness on the single dimension of a pi-angle or "diameter" of three equal poles.
Monte Carlo methodology delivers traditional random theory.
Action at a distance delivers a flat bet advantage. Modernly, this is the flat bet advantage of Quantum Mechanics and Bell's Theorem.
Quantum physicists are stuck in laboratories measuring the serial randomness of very small particles. They are using the right methodology of "action at a distance" ...but are still trying to understand --and impossibly resolve-- the magic flat bet advantage on a single dimension ...with the multidimensional quadrature inherent to Monte Carlo methodology.
The recent success of China in demonstrating the quantum experiment of entanglement at 1,200 km into space is impressive as to technological ability but it is most assuredly not an advance in quantum science. The distance is entirely irrelevant. It could be done from here to the far side of the solar system and the results would be the same. There is no physical "entanglement" at any stage of the process. It is entirely a matter of perception and the success is all in the measurement itself. As explained herein, we and our perceptions and outdated measurements are the only "entanglement."
It is not that traditional random theory is wrong. It is simply incomplete.
This web site explains and instructs how to use the identical methodology of "action at a distance" to find the identical same flat bet advantage in the serial random measurement of any random series of anything whatsoever: large, small; macro or micro; particles or gaming objects; random number generators or stock market or psychology, etc.. See WHAT'S CRACKING.
The mystery of the Terror is now exposed as a ruthless mass slaughter that was intended to cover up the murder of the handful of men already in the know of these matters. As well, to obtain their papers and thereby effectively conceal the original Buffon Needle Problem and its random proof of pi as well as the original Needle's natural extension: "action at a distance."
The Vatican must take responsibility for initiating the problem four centuries ago by suppressing the concept "actio in distans."
Simon Laplace, who falsely and knowingly bragged himself as the "greatest mathematician in France," must be assigned responsibility for effectively continuing the Vatican's suppression, although for his own reasons. Laplace was a mathematical fraud who initiated the Terror with the motive of protecting his undeserved reputation. He did so by using Robespierre and Joseph Fouche to promote terror tactics that were so repulsive that over a century later, ultimately and very specifically inspired the worst of Adolph Hitler and the Nazi regime. Laplace also used his mentor relationship with Napoleon Bonaparte to scour Europe to remove reports and studies of the original Needle and "action at a distance." Most especially, he had Fouche order one of Napoleon's generals to sack the Vatican's archives and transport them to Paris ...where they were burned. Disastrously, he also withheld the original Needle and "action at a distance" from the science and math curriculum that was introduced with the first state run system of public education. The world still follows that curriculum and Laplace's misdirection.
This grail is a flat bet (same amount or measurement taken each time) .16666.... advantage over traditional theories of random expectation. Many applications may be fine tuned with an additional .11111.... from centrifugal force. Relative to traditional random theory, the advantage only makes mathematical sense in the world of pi.
The advantage is found as a geometric probability on the single dimension of a diameter. This dramatically contrasts with the algebraic possibilities of traditional random theory on the two dimensions of a circle. The advantage statistically appears only with the methodology of "action at a distance." It only makes mathematical sense with the original Buffon Needle Problem as the unit of measure.
These matters solidly belong in the actuarial sciences. There has been exhaustive testing, with 100% success, with gaming and random number generators. Other subjects have been lightly tested, with the partial coin exception noted below, with 100% success. The subjects range from the stock market to psychology to biological and geological distributions. Anyone may easily find and prove the advantage at home with dice, cards or a true random number generator (see: What's Cracking).
Waiting in the wings are studies in the dynamic applications to such varied random matters as weather, inventory controls, sports and relationships including jury selection and terrorism.
Perhaps no word in the world's languages is more misused than "probability." Modernly, true "probability" only exists in the quantum sciences. It is only found with the use of the geometric finesse within "action at a distance." In a series of random measurements, the "finesse" is an omission of the middle measurement(s) from statistical consideration. The finesse is through the object, field or game's Center of Rotation (COR). This is the methodology of Quantum Mechanics.
Relative to the geometric randomness of gravity, all other applications of the word "probability" are actually the algebra of possibility. Traditional random expectations and theory are based only on the algebra of possibilities. Relative to gravity, the algebra of traditional random theory is only the equal possibility of one of two directions.
The difference is between the randomness of geometric probability that gravity always delivers on one dimension ...and life's inherent perception of randomness that the same event was delivered on two or more dimensions.
Within the "possibilities" found on two or more dimensions, such as a circle or any other shape, is the randomness of our common perceptions and traditional random theory.
By the proof of the original Needle, everything that is not geometric probability or the randomness of two directions is --paradoxically including two possible directions-- just pi.
Geometric probabilities are what gravity delivers in the single dimension of gravity's straight line pull along the pi-angle (or "diameter") of any randomly measured field, object or game. From any single measurement of gravity, there is only a straight line pull. The appearance of gravity as a warped field is only the result of several measurements in an ever changing field. It is also outside the scope of this study.
Such probabilities and the flat bet advantage are only found statistically and only with a geometric finesse.
The so called "probabilities" offered by the casino industry and traditional random theory are actually only algebraic possibilities. Their roots are based on the mathematical fraud executed by Simon Laplace in the early 19th century. Laplace also controlled the curriculum of the world's first state run system of modern education. Disastrously, it has continued to serve as a model into the 21st century. By Laplace's intent, it does not contain geometric probability or the original Needle or "action at a distance." Laplace's conduct is discussed in depth in the history section of this site.
These matters are 8th grade simple concerning the geometry. They are 5th grade simple concerning the algebra.
Question: If the Vatican found "action at a distance" so threatening that it suppressed the concept ...and if it was so important that it was the subject of the longest debate in the history of the Paris Academy of Sciences ...why aren't we studying it today?
Question: If the simple original Buffon Needle Problem provides the matrix of geometric probability for "action at a distance" ...and if the Needle is so powerful that physicists had to throw it to determine the geometric probability of random neutron collision when they built the first atomic reactor ...why aren't we studying it today?
These matters are dimensional in nature. On one hand, we perceive randomness delivered in two or more dimensions. This perception may be idealized by a randomly measured circle of two dimensions: diameter and cross-diameter. The end poles of the two dimensions are the four quadrant poles often referred to as: North, South, East and West. Each pole is a random .25 possibility. This is quadrature. It is the foundation of traditional random theory. It is completely irrelevant how many possibilities are on the circle (or pockets on a wheel). Randomly, there are still only two dimensions and four poles.
The methodology of "action at a distance" mathematically separates gravity from perception. Gravity forever delivers its random events on one dimension only: the diameter of any randomly measured field, object or game. A randomly measured diameter has 3 poles: one end, the Center of Rotation, the "other end."
The third pole (relative "other end") is frequently called a pi-angle pole since the rotation of the diameter end poles describe the perfect arc of a circle of pi. The third pole on a three pole diameter appears to be a .33333.... geometric probability. However, using Monte Carlo methodology without a geometric finesse, leaves the relative third pole to statistically appear as a .25 algebraic possibility.
Here is where the entanglement starts.
The flat bet advantage comes from using the geometric finesse of "action at a distance" to predict and find the third pole (the relative pi-angle pole) on a 3 pole diameter as a .33333.... geometric probability that traditional random expects and "pays off" as a .25 algebraic possibility under quadrature. The difference is the flat bet advantage (.33333.... - .25 = .08333....) factored by two possible directions. That is: 2(.08333....) = .16666.... .
The geometric finesse is the omission of the second of three random measurements.
Knowledgeable entry into this world of geometric probability requires a mental admission. The ticket costs a psychological leap: relative to serial random measurements along the straight line of a diameter, we and our perceptions and dimensions and measurements and games and statistics are all ...just relative pi in rotation.
Cracking Pi Cracking Random resurrects and combines these two very old geometries of random probability: the original Buffon Needle Problem (1733) and the methodology of “action at a distance.” This geometric finesse sets up the geometric probability of the relative pi-angle pole ...and delivers a geometrically precise and predictable random flat bet advantage.
The original Needle is a matrix of geometric probability which is foundational. It naturally leads to "action at a distance." The original Needle provides the correct unit of measurement to make mathematical sense of both "action at a distance" and the resulting advantage of geometric probability. The unit of measurement is the original Needle's unchangeable length. It is the universal random average: relative 1/4 pi.
Both geometries have developmental roots traceable to Isaac Newton. Both geometries had a tortuous history throughout the 17th and 18th Century with the Vatican also banning the books of Newton and Buffon. Both geometries were lost in the French Revolution's Terror.
In 1812, Laplace effectively warped the original Needle.
The methodology of "action at a distance" was only partly recovered in Werner Heisenberg's theory of Quantum Mechanics. The original Needle has never fully recovered until this website. Reader's should very carefully note that what is offered in texts and on the web as the "Buffon Needle Problem" is NOT the original Buffon Needle Problem (see Exploring Random: Buffon Needle Problem)!
Only the original Needle supports the mathematical truth of "action at a distance" and the flat bet advantage.
CRACKING PI CRACKING RANDOM extends the methodology of the original Needle (and quantum theory) to every series of random measurements of anything. The original Needle provides its own length as the correct random unit of measure: relative 1/4 pi, relative to the object, field or game's pi-angle.
The flat bet advantage is gravitational, simple, random, geometric, contains relativity and is dimensional in nature. The pi-odds formula delivers it with the relativity that eluded Albert Einstein. He didn't believe in "action at a distance" and called it "spooky!"
In its most fundamental form, the flat bet advantage is doubled from quantum theory's .08333.... (because the particle or orbit or "field" is split) to .16666.... (when the "field" or circle is not split). In many random games, the advantage may be refined to include an additional .11111.... flat bet advantage from centrifugal force.
Of particular fascination, every series of random measurements --of anything-- inevitably tends to duplicate the relative geometric relationships between the relative digits of the geometric divisions of pi. This duplication includes the .16666…. advantage. Indeed, it is in and through the relativity of these geometric divisions that the advantage appears. It does so with predictable geometric precision. It is found with averages of geometric probability overlaid upon averages of geometric probability.
In other words, any random series of anything is already predictable with a flat bet advantage simply by looking at the relative digits of the geometric divisions of pi?!
The inevitable conclusion is that every random series is already a predictable statement of pi in the first instance of gravity and randomness!!
Roulette with a dealer’s random release of the ball was used as the base model throughout this study. It is a near perfect universal model of randomness. Only the frets of a wheel hold back near absolute perfection. These matters have also been thoroughly and successfully tested with dice and cards and true Random Number Generators. So too, this has been lightly but 100% successfully tested with the randomness of the stock market and psychology as well as biological and geological distributions.
Far beyond gaming, the real nest of the gravity bet will be a statistical revolution in the actuarial sciences.
We --and our perceptions and measurements and quadrature-- are the mysterious "entanglements“ and/or "hidden variables” of quantum theory.
The inevitable startling mathematical conclusion is that "randomness" is only the possibility of 1 of 2 directions in a probability matrix of pi ...that is only mathematically realized with the geometric probability within "action at a distance."
We cannot see the forest for the trees. The reason is also a philosophical conclusion that was surely considered by the Vatican (no matter how the average geometric length was called): relative to serial random measurements of gravity, we and the forest and the trees …including our perceptions and beliefs and ideas and games and traditional random theories and measurements and statistics and quantum theories and descriptions and beliefs and histories and conclusions are all ...just so much relative pi in rotation!