It is National Pi Day. Perhaps appropriately, the Grinch of pi has delayed the Circus course for another few days.
Nevertheless, let the Circus begin. These daily articles will serve as an introduction.
In the first instance of randomness, these are matters of perception, not mathematics. The perception contains the utmost irony: the more intellect and education one has, the more difficult it is to admit the random geometric truth: relative to serial random measurements, every series of statistical results is just a statistical series of relative 1/4 pi in rotation. Within this truth is the relativity that eluded Einstein.
That geometric truth cannot be found with the serial random measurements of Monte Carlo methodology alone. Monte Carlo delivers the original Needle: relative 1/4 pi as the universal average random unit of measure. What spooked Einstein is that this turns into 1/6 pi over three serial random measurements. The flat bet advantage is the difference made relative back to relative 1/4 pi and factored by two directions.
This can only be found by superimposing “action at a distance” upon Monte Carlo methodology.
The result only makes sense if the resulting flat bet .16666 advantage is understood in terms of the random difference between 1/6 pi occurring naturally …and relative 1/4 pi being expected and “paying off” as such.
The difference starts with a fundamental matter of perception.
We see a wheel and it appears to have (at least) two dimensions: diameter dimension and cross-diameter dimension. Let the end poles of the two dimensions be the Cardinal poles: North/South and East/West. Each Cardinal pole is a .25 algebraic possibility of the circle. Relative to life’s perceptions, there must be a balance of dimensional possibilities. A 4 pocket wheel fits life’s perceptions.
Let there be a roulette wheel without frets or pockets. Let the “pockets” be painted on and the ball simply roll to a random stop. In the long run, if the average distance between one random ball and the next is anything other than one fourth of the distance around the wheel, the game is not fair. That distance is a Cardinal pole. Since the four Cardinal poles define the field or game’s dimensions, all randomly measured fields may be fundamentally understood as a four pocket roulette wheel. This is traditional random theory. It was proven by the original Needle when it automatically demonstrated its length of one fourth of a circle to be the universal random average.
The original Needle also proved its length of 1/4 C to be relative 1/4 pi, relative to the circle’s diameter.
It is here that science breaks down as it relies on traditional random theory and the quadrature it contains to try and understand relativity. It is mathematically impossible to understand relativity with quadrature.
By the proof of the original Needle, only relative 1/4 pi contains random gravitational reality and relativity …but not its simultaneous appearance as 1/4 C. This is because 1/4 C does not need to be “relative” to the circle. It is already an integral part of the circle.
When “action at a distance” is superimposed on Monte Carlo methodology (and therefore superimposed on a string of fractions of relative 1/4 pi each) “relative 1/4 pi” becomes predictable as a pi-angle pole with a random value of 1/6 pi.
This is similar to the situation of “1/4 C” not needing to be “relative” to something it is already a part of. The value “1/6 pi” (as the geometric probability of a pi-angle end pole) on a pi-angle does not need to be understood as “relative” to the pi-angle (or straight line pull of gravity) it is already part of.
This leads to the conclusion that, relative to randomness, the only relativity that has gravitational significance is relative 1/4 pi.
While it may appear 1/2 pi may qualify as having random “relativity,” it is also more fundamentally comprised of two measurements of random relative 1/4 pi. The far end pole of a semi circle is a Cardinal pole of relative 1/4 pi. However, the same point in time and space is found as the end pole of a diameter, with a random value of 1/6 pi, when it is looked for over three random measurements with “action at a distance.”
Let’s return to the 4 pocket roulette wheel. It doesn’t matter how many “pockets” are on the wheel, the average distance around the wheel is always 1/4 of the distance around the wheel.
If Monte Carlo is used without “action at a distance,” the average distance between one random events and the next will always be 1/4 C …or relative 1/4 pi.
If Monte Carlo is used with “action at a distance,” the average distance between one random events and the next will still always be 1/4 C …or relative 1/4 pi …with something extra. With “action at a distance,” at every third measurement, what would otherwise be expected as simply another possibility of relative 1/4 pi on a circle …suddenly becomes a predictable geometric probability of 1/6 pi on the circle or field or wheel or game’s diameter.
These matters are most easily understood in the simple random context of gaming.
Adjustments must be made when non random factors are introduced and the field is no longer a circle, but another “shape.” In such instances, the gravitational structure remains the same but the finesse methodology of “action at a distance” must be taken to deeper levels.
The Cracking Pi Circus is intended to help users of geometric probability identify new fields to be measured with “action at a distance.”
The 4 pocket wheel is the model from which to understand these matters. Relative to life’s perception (this has nothing to do with relative to randomness of gravity) we see a wheel with two equal dimensions and 4 equal pockets.
However, relative to the randomness of gravity (this has nothing to do with the randomness we perceive) all that is rotating and being randomly measured is the straight line of gravity’s pull along a single dimension. By the proof of the original Needle, the relative cross dimension is simply a mathematical average …just relative 1/4 pi in rotation.
Draw a wheel or circle of four pockets. Let a random ball land in “South.” Draw a dotted line between East and West. Draw a straight line between South and North.
Relative to the random event of gravity’s straight line pull on the South/North diameter, the relative cross diameter is just relative pi in rotation. It is just a mathematical perception. So, relative to gravity, the circle is also just a mathematical perception. That is: C = 4 (1/4 C).
Relative to South, the diameter is a pi-angle of three poles. South is a pi-angle base. The Center of Rotation is the pi-angle’s middle pole. North is the pi-angle pole.
Under traditional random theory, the diameter and cross diameter are equal, like apples and apples.
Under “action at a distance,” the diameter and cross diameter are not two similar fruits in the structure of the universe. They are different fruits in completely different dimensions: gravity versus perception.
The difference between gravity and perception cannot be perceived. It can only be statistically understood. That understanding cannot be made with traditional random theory. It can only be found with “action at a distance.
All randomly measured fields –from wheels to cards; from bio-distributions to inventory control; from psychology to the stock market– can be understood as though on a roulette wheel. Regardless of how many pockets are on the wheel (0 or 12 or 13 or 37 or 38 or 52 or a zillion) the average distance between one random event and the next is 1/4 C. This sets up geometric probability.
That is: in a random series of anything, “action at a distance” is between North and South without the intervention of East or West. The intervention is achieved with the geometric finesse automatically contained in “action at a distance.” By the proof of the original Needle, relative 1/4 pi is the unit of measure. The result of “action at a distance” is that, relative to South, at the third trial, relative North is found, with a geometric probability of .33333, as the third pole on the pi-angle of three poles. This delivers the flat bet advantage as traditional random theory expects (and “pays off”) North as a Cardinal pole with a .25 algebraic expectation. This difference is factored by two possible directions on the possibilities of the “game” (or circle or wheel) with the geometric certainty of one direction on the geometric probability of the pi-angle.
That is: 2 (.33333 – .25) = .16666 .
Everything random may be understood on a 4 pocket wheel. Every 4 pocket wheel inherently contains a .16666 flat bet advantage.
Extracting the advantage requires a psychological leap. This is the price of “action at a distance.” It is an extremely simple jump to make, but it is entirely mental. This is apparently why even physicists with several advanced degrees cannot understand the “hidden variables” and “entanglements” of Quantum theory. This is also appears why Quantum Theory is generally stuck in the laboratory measuring particles with “action at a distance” to get a .08333 flat bet advantage over traditional random theory and expectations.
The .08333 advantage of Quantum theory may be said to be algebraically identical with the .16666 flat bet advantage of the gravity bet. That is: Quantum theory predicts the relative pi-angle pole with a .08333 advantage relative to a semi-circle.
In slight contrast, the gravity bet uses the same methodology to come to a .16666 advantage relative to the complete circle.
The only way Quantum theorists can understand their “hidden variables” and mysterious “entanglements” is to admit the random geometric truth. That is: relative to randomness, the particles and the wheels and games and measurements, including the physicists themselves and their advanced degrees and education, including the games and experiments and traditional random game theory, including casinos and tables and players and their chips, including stock market players and their predictions and stocks and winning and losing …are all …just relative 1/4 pi in rotation.
Welcome to the Cracking Pi Circus.