"You can't calculate probabilities with just algebra. The geometry must be taken into account."
Comte George Buffon, Essay on Moral Arithmetic
GETTING STARTED WITH ACTION AT A DISTANCE: THE HEART OF RELATIVITY
The methodology of "action at a distance" is a geometric finesse. The mechanics of the basic finesse are identical with the mechanics of the common finesse in the card game of Bridge. The application is even easier since the "game" values are not considered. That is: take three random measurements and eliminate the second while predicting the third to be relative to the first.
By the proof of the original Needle, every random table "game" is a "game" of 4 equal possibilities on a circle. Each possibility is a Cardinal pole. That is a quadrant. Each quadrant Cardinal pole is a .25 algebraic possibility. This matches life's perceptions and expectations of a 4 pocket wheel. Since these matters are dimensional, this is also the basis of quadrature and traditional random theory.
It doesn't matter how many "pockets" are in the "game." There are still only two dimensions: diameter and perceived relative cross diameter. It doesn't matter how many "pockets" are in the "game," half the random events will land on one side of the diameter and half on the other. Similarly, with the perceived relative cross diameter. It doesn't matter how many "pockets" are in the "game," half will land on one side of the perceived relative cross diameter and half on the other side. This is quadrature. Relative to a series of random measurements, gravity dosn't recognize "shapes." Gravity only recognizes its own straight line pull along the diameter of the randomly measured field, circle, "shape" or "game." It doesn't matter what the "shape" of the "game" is. The entire matter is dimensional. This is the basis of traditional random theory.
The statistical results of traditional random theory on a 4 pocket wheel match our perceptions and expectations. Each Cardinal pole (or "pocket") tends to appear with .25 of the total measurements taken. Traditional random theory relies on Monte Carlo methodology. That is: count all measurements and take an average. It is worth noting again that this methodology was introduced by the original Needle in 1733, while the name "Monte Carlo" was only attached circa WWII.
The original Needle also proved each Cardinal pole was a geometric probability of relative 1/4 pi, relative to the circle or "game's" diameter....
...Sets up "action at a distance" and makes mathematical sense of the flat bet advantage: .16666.... .
Action at a distance changes traditional random theory by geometrically matching the structure of the measure or prediction or bet ...to the geometric structure of the diameter of that which is being randomly measured or predicted or bet. That is: at the third random trial, predict the relative pi-angle pole (the opposing diameter "end pole") relative to gravity's straight line pi-angle pull from the first random trial.
In other words, if the first random event is in "South," predict the third random event to be "North."
In the first instance of randomness, the relative pi-angle pole delivers a .08333.... mathematical difference between an event on gravity's pi-angle and the same random event on the pi-angle's circle. Geometrically, a relative pi-angle pole is the third and opposing pole on gravity's geometric structure of a pi-angle of three poles.
While the quadratic structure of the "game" or COR may require a deeper finesse (such as the 9th trial for an RNG or the 13th trial with a cube) to reach the relative pi-angle pole, it is still fundamentally the third pole on a structure of three poles.
Gravity's relative pi-angle pole is an arc of 60 degrees of geometric probability. Traditional random theory expects, and pays off, an opposing pole as though it is quadrant Cardinal pole with an arc of 90 degrees. The difference is the foundational part of the flat bet advantage. That is: .08333.... . The difference must then be factored by two possible directions which, constitute the "game." This doubles the flat bet advantage: .16666.... .
This, of course, makes no sense under traditional random theory. For the identical reasons, this is why Quantum Mechanics also makes no sense under traditional random theory.
To make mathematical sense of "action at a distance," it is first necessary to make a mental jump and agree with the original Needle's inferences of pi. Relative to randomness, we and our games and the game's Center of Rotation, are all just pi. The threshold question then becomes a very limited piece of mathematics. What geometric structure is to be assigned the random value: “1.”?
A diameter is the straight line that cuts a circle in half. A radius is one half of a diameter.
The idea of "action at a distance" is to predict the randomness of an opposing pole, such as North relative to South (or the reverse) or East relative to West (or the reverse) as one of three poles on a diameter of three poles. That is: South, Center of Rotation, North (or the reverse) ...or ...East, Center of Rotation, West (or the reverse).
This geometric structure of 3 poles does not coincide with the algebraic structure of 4 poles on a circle or "game." The methodology of "action at a distance" only makes mathematical sense if the randomness of "1." is valued correctly.
However, if "1." is valued correctly so as to make mathematical sense, it must use the correct unit of measure. That unit is the length of the original Needle: relative 1/4 pi.
The most fundamental problem in physics starts with traditional random theory. The problem starts with traditional random theory valuing a random field or game radius as: “1.”
The original Needle was randomly and gravitationally correct when it valued a randomly measured field's diameter as: "1.". By simple deduction, a radius therefore has a random value: ".50".
This random geometric truth is from the original Needle.
Any attempt to apply the algebra of traditional mathematics and/or random quadrature to reconcile the differences with geometric probability is useless if the purpose is to understand randomness. This is the "spookiness" of "action at a distance." The attempted reconciliation inevitably leads to an all-encompassing world of pi.
Apparently, the more scientific education a reader has, the more difficult this is to understand.
Simon Laplace changed the fundamental dimensional nature of random values when he took the Needle (without mention of Buffon) and changed its length. His changes were more than a mere proportional change of the original Needle's length. Laplace fundamentally changed the original Needle's random nature. It was no longer random geometry relative to gravity. It became just a meaningless algebraic search for pi, relative to the quadrature that Laplace used to make the alteration.
Disastrously, Laplace also disingenuously and wrongfully implied the original Needle contained "errors."
The historical damage caused by changing and disregarding and disrespecting the original Needle's random geometric length is evidenced by the fact that tens of thousands of highly trained mathematicians and scientists have tried to break randomness over the centuries. Other than Quantum theory, none have succeeded.
This is also evidenced by the fact that “action at a distance” is the very heart and pulse of Quantum theory. It contains the very grail that is the subject of this study ...but Quantum physicists still cannot mathematically understand their own success....
....The reason is that they are starting with the wrong random value of: “1.”.
....The problem is that the correct value of "1." comes with an inference on the price tag. That is, relative to a series of random measurements, gravity has a random value: "1." ...and everything else, including ourselves and our perceptions and measurements and statistics and "games" are all ...just relative pi in rotation.
To understand the mathematical values of randomness relative to gravity as opposed to randomness relative to our perceptions, it is necessary to start with the original Needle's correct random geometric value of: “1.” It is the value that gravity itself, by virtue of the original Needle's genius, assigns to gravity's own straight line pull on the diameter of a randomly measured field.
The problem Quantum physicists have is using and applying the same algebraic value of “1.” to geometric randomness as they --and we all-- apply the value of “1.” to the everyday world of non-randomness. This is the mathematical disaster we perceive and know from our education and experience.
The algebraic value of “1.” used in traditional random game theory ...and the geometric value of “1.” as gravity randomly defines its own randomness ...are fundamentally different. They exist in entirely different dimensions.
The random, gravitational, geometric nature of pi (every random table game or series of random measurements) is fundamentally different from life's perceptions of its algebraic nature and "shape."
Geometrically, dimensionally and gravitationally, the randomness of "games" is not what it seems!
Relative pi (or relative 1/4 pi multiplied by 4) is perceived as a circle. The randomness and relativity we perceive is only relative to a circle and "games" and life's perceptions. That makes the relativity we perceive (Einstein's relativity) meaningless since what we perceive on a circle is already part of the circle.
By the proof and deductions and inferences of the original Needle, relative pi is also, geometrically, the Center of Rotation relative to an object's diameter. When pi is understood geometrically as the COR, it may be made geometrically relative to randomness and gravity....
Paradoxically, to find the flat bet advantage in pi, the COR (that is: pi) must be eliminated (finessed through) so that pi doesn't statistically appear in the random equation. This is what "action at a distance" does. It forms an equation using the divisions of pi ...to eliminate pi from the equation.
It is here that the entire world of Quantum theory runs into the brick wall that comes from starting with the wrong measurement. In this case, it is starting with the wrong value of "1.". When something is measured randomly in Quantum theory, it appears to change by the very fact of measuring it.
It is the dimensional results of our measurements that change with the geometric finesse. The statistical results that come from eliminating the COR proves the randomness that we are measuring does not mathematically agree with the mathematical randomness we perceive. The brick wall instantly melts with the realization that it is just a wall of pi in the first instance. We ...and our excessive perceptions and unnecessary measurements of the COR ...are the pi. Eliminate the middle measurement with the geometric finesse ...and the problems of pi and perception go away. This is the dynamic value of "action at a distance."
All the random geometric action, including the flat bet advantage, is in the predictable interaction between relative 1/4 pi, relative to the circle or "game" ...and relative 1/2 pi (and/or relative 1/6 pi) relative to circle or game's diameter.
The same advantage is found between the relative digits of relative 1/4 pi and relative 1/2 pi, but the relationship between relative 1/4 pi and relative 1/6 pi is more theoretically accurate for the reasons given herein.
It is the diameter of a wheel or shuffled card suit or cube that randomness and gravity are acting on. Relative to gravity, the value “1.” must be applied to the randomly measured field or game’s entire diameter.
However, relative to life’s perceptions, and by common agreement and education (following the lead of Laplace) we assign (as do Quantum physicists in error) the value “1.” to a randomly measured field or game’s radius.
Laplace's alteration kicked pi out of gravity's diameter where it is naturally, randomly and geometrically, positioned as the COR. Laplace's change left pi as merely a circle (or COR) ...to be counted with every random measurement. Laplace's alteration also leaves room for the COR to be redefined as: "1.". This fits life's perceptions but has little to do with random geometric probability. It makes the random geometric truth a mathematical impossibility.
The algebraic and geometric differences of "1." should have evolved side by side. Laplace had history's richest opportunity to make that happen. Instead, he used his political power to make certain they did not evolve at all. Rather than embracing these new random geometries, Laplace, the "father of modern game theory," inexcusably dismissed them. He made his questionable academic point stick by lack of integrity (Laplace's lack of integrity is historically well known and documented). His outrageous conduct was protected by the men he mentored: Robespierre, Napoleon and Fouche, rather than by reasoning and academic ability.
This is not a mathematical matter in the first instance. Nor does it fall and under any other traditional science or academic discipline. It is a matter of recognizing the single dimension of gravity and its relationship to the world of relative pi ...as an entirely new dimension.
For the past two centuries, Laplacian mathematics have been harvested in quadrature and effectively welded in bronze and sealed in cement. It is now virtually useless to ask a mathematician to understand or confirm these matters. No "physicist" or “mathematician” or "statistician" can do it without apparently surrendering, at least psychologically, the basis of his or her education.
It will surely be a mass of naturally inquisitive students who will ultimately confirm these random matters of pi and geometry. It will undoubtedly occur first across the internet.
The use of "action at a distance" must be modified with "games" other than roulette with a dealer's random release. Such other games generally require a deeper finesse. This is discussed elsewhere in this site. It must be noted again that reliable published roulette outcomes with a dealer's random release are virtually non extinct except as found and referenced in this site.
Those without access to a Roulette wheels, or books of Roulette outcomes (problematic in themselves) can easily find and prove the random flat bet geometric advantage with dice.
This is a matter of perception and analysis in the first instance. It is worth noting that this is probably why, in all of history, the only common thread of academic discipline concerning the fundamental evolution of “action at a distance” is by three men trained as lawyers: Buffon, Boskovic and this author.
Buffon is considered a non-mathematician. He also studied law. He also came up with the calculus of the original Needle.
Boskovic was recognized as one of the greatest mathematicians in Europe. He also held advanced law degrees. He came up with the methodology.
This author is also researcher and forensic analyst and independently came to the same conclusions as Buffon and Boskovic.
The gravity bet mathematically unites the work of Buffon and Boskovic. This author adds the factor of direction. This delivers the gravity bet.
The world of “action at a distance” simply cannot be understood with traditional mathematics and geometry. Action at a distance exists in an entirely separate dimension of relative pi and its geometric divisions. This is not a matter of becoming more educated with additional new dimensions. It is a singular matter of simply eliminating the familiar old dimension of our perception of a relative cross diameter.
The perceived cross dimension of "width" simply doesn't exist relative to randomness and gravity. Relative to gravity, relative "width" is simply just relative pi (that is: relative 1/4 pi multiplied by 4) in rotation. That is: relative to serial random measurements, the dimension of "width" is just a mathematical average ...just a perception.
It is the super simplicity of perception that is life's common stumbling block. It is similar to being unable to see the forest because of all the trees. Relative to randomness and gravity, we and the forest and the trees are all pi in the first instance.
These are matter of perception and analysis in the first instance. Not mathematics. By the proof of the original Needle, it is simply a perceptual matter of mathematically accepting the totality of gravity --including the complete diameter of a game or gravity field-- as: “1.”
It is the mathematical consequence of geometrically defining a diameter as "1." that appears, as Einstein put it, "spooky."
Relative to a diameter valued as: "1." ...everything else, including ourselves and our perceptions, has a relative random value of relative 1/4 pi in rotation. This conclusion comes from the proof and deductions and inferences of the original Needle. Relative 1/4 pi is just an average. However, unlike other averages, it is directly relative to gravity's straight line pull.
No special knowledge is necessary to use the gravity bet and its "action at a distance." For those who wish to mathematically understand it ...the only arithmetic concerns appropriately dividing pi by 2 or 3 or 4 or 5 or 6, etc... Any middle grade student can do it. Anyone can do it with a calculator.
The flat bet advantage is the difference between 1/6 pi (the geometric probability of a pi-angle pole factored by two directions) and 1/4 pi (the foundational Cardinal pole of traditional random game theory). The difference is made relative by the mathematical relationships between 1/4 pi and 1/6 pi (same identical results as found between 1/4 pi and 1/2 pi). Therein is the flat bet advantage, divided by two directions. That is: .78539 - .52398 = .26179 . Next: (.26179) / .78539 = .33333. Finally: (.33333) / 2 = .16666 .
As detailed herein, anyone can most easily prove it with a true RNG from the web or a near perfect cube or deck of cards. It may be noted here that the advantage in cards starts with 1/3 of the inverse of pi. It should be noted again that a deeper finesse is necessary than three trials. That is: a finesse 9 deep for RNG's and 5 deep for cards.
The original Needle was the first and only random bridge between the dimension of perception and the dimension of gravity. The bridge is comprised of the original Needle’s own length of relative 1/4 pi at one end of a cross radius and of 1/2 pi at the COR at the other end of the cross radius.
The geometric uniqueness is that the unit of measurement of relative 1/4 pi is just a mathematical average while relative 1/2 pi (and/or 1/6 pi) contains the physical geometric reality of a randomly measured diameter's end poles.
The uniqueness is that 1/2 pi contains a physically real geometry that is also comprised of two algebraic measurements of relative 1/4 pi. Finding it with “action at a distance" completely shatters traditional random theory.
Relative 1/4 pi is gravity's translation of the randomness between perception (everything we perceive and are taught and believe including traditional random theory) and gravity (what randomness and gravity actually deliver).
The original Needle deductively and inferentially proves that, relative to randomness ...perception is just a dimension of relative pi in rotation. By the mathematical proof and deductions and inferences of the original Needle ...relative to the diameter dimension of “length” ...relative "pi in rotation" replaces the perceived dimension of relative “width.”
The original Needle also proved that, relative to randomness, relative pi was just an algebraic statement of relative 1/4 pi multiplied by 4.
When measured serially and randomly, relative to perception, relative to gravity, it is relative 1/4 pi that is relative to the diameter in the first instance ...not relative pi that is relative to the diameter in the first instance!
Pi is only relative to the diameter in the first instance under traditional random theory in which pi is relative to perception. This is Euclidean geometry.
In the pi-odds theory, relative to randomness, in the first instance of randomness, pi is the COR as the middle pole of a three pole diameter. The gravity bet and "action at a distance" insists pi must be first understood through relative 1/4 pi over two random measurements ...before pi may be secondarily perceived as the ratio between a circle and diameter.
Since, by the random proof of the original Needle, pi is only an algebraic average of the cross dimension ...just a perception (like relative 1/4 pi) ...so too, relative to gravity, the perceived cross dimension of relative “width” is just that ...only a mathematical perception. More specifically, it is relative pi in rotation. More specifically yet, it is relative 1/4 pi in rotation, multiplied by 4, with the dynamics of two possible directions. This is the "game." This is also the COR.
Every random table "game" is of two dimensions: length and width. Only length is "physically real." Relative width is just an algebraic average. Together they are the "game." Dimensionally, every random "game" is of 4 poles: the end poles of the two dimensions. Again, this is also the COR.
The original Needle proved each pole on a circle to be equal as well as the universal random average of relative 1/4 pi.
By gravity's own random proof of itself through the original Needle ...the relativity principles of pi in the original Needle appear as the only logical bridge between the randomness of gravity and the randomness of our perceptions.
Traditional random theory is on one side of the issue. In it, all is relative to a circle or "game" or COR before being secondarily relative to gravity's more fundamental structure of a rotating diameter. This means the "game" is always a game of perception and relative pi. Playing the "game" makes the search for geometric probability an impossibility. Geometric probability is only found with "action at a distance." Playing the "game" makes "action at a distance" an impossibility.
1) gravity along the diameter dimension of an object’s (including all gaming objects) “length” and inherently having a value of: “1.”
2) perception as the relative cross-diameter dimension of relative “width” with an inherent relative value of relative 1/4 pi in rotation (or 1/2 pi or pi depending on orientation of perception) relative to the diameter of the gravity field. In traditional random theory, the dimension of "width" is inevitably measured with a metric value such as inches or millimeters or miles or light years.
This allows a flat bet random advantage to become a reality when the random measurements are made with "action at a distance" and the dimension of"width" is eliminated from statistical consideration.
When "action at a distance" is couched in the geometric probability of the original Needle, the flat bet advantage appears. The mathematical sense also becomes clear as Pi and its digits become geometrically meaningless.
The real random geometric action is between a diameter base of relative 1/4 pi and --through "action at a distance"-- relative 1/6 pi (or 1/2 pi ((dealer's choice))) as a relative pi-angle pole. This is what spooked Einstein. This is the flat bet advantage of Quantum science. This is the advantage that comes with "action at a distance."