"You can't calculate probabilities with just algebra. The geometry must be taken into account."
Comte George Buffon, Essay on Moral Arithmetic
INTRODUCTION TO CRACKING PI CRACKING RANDOM
Here is a grail to predict the outcome of any random series of anything. It appears with the solution of five deeply interconnected mysteries spread over 4 centuries: Pi, randomness, "action at a distance", the French Revolution's Terror, and the "hidden variables" of Quantum Mechanics. Recovered as well is the original Buffon Needle Problem.
It may be fairly said the world's technology is four centuries behind in development.
The mystery of the Terror is now exposed as a ruthless mass slaughter that was intended to effectively conceal the original Buffon Needle Problem and its proof of pi. Buried as well was 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 of "action at a distance" (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 with tactics that ultimately and specifically inspired Adolph Hitler and the Nazi regime.
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 that dramatically contrasts with the algebraic possibilities of traditional random theory. It appears with the unification of two long lost geometries: the original Buffon Needle Problem and "action at a distance."
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, terrorism, relationships, inventory controls, and sports.
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 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.
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. Laplace's malicious 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 geometric matrix 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 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). There are still only two dimensions and 4 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 diameter has 3 poles: one end, the Center of Rotation, the "other end." The third pole (the relative "other end") on a three pole diameter is obviously a .33333.... geometric probability. The third pole is called a pi-angle pole since the rotation of the diameter end poles describe the perfect arc of a circle of pi.
The flat bet advantage comes from using the geometric finesse of "action at a distance" (see within) to predict and find the third pole (the relative pi-angle pole) 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.... .
Knowledgeable entry into this world of geometric probability requires a mental admission. The ticket is a psychological leap: relative to serial random measurements, we and our perceptions and dimensions and measurements and statistics are all ...just relative pi in rotation.
Cracking Pi Cracking Random resurrects and combines two very old geometries of random probability. These are the original Buffon Needle Problem (1733) and the methodology of “action at a distance.” The methodology was suppressed by the Vatican four centuries ago: (actio in distans). It is a geometric finesse that delivers the random flat bet advantage. The original Needle is a matrix of geometric probability which is foundational and naturally leads to "action at a distance." The original Needle provides the correct unit of measurement to make mathematical sense of "action at a distance" the advantage of geometric probability. That 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.
The methodology was only partly recovered in Werner Heisenberg's theory of Quantum Mechanics. The original Needle has never fully recovered until this website. In 1812, Laplace warped the original Needle. 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 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 "field" is split) to .16666.... (because 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 digits of geometric divisions of pi. This duplication includes the .16666…. advantage. Indeed, it is in and through these geometric divisions that the advantage appears. It does so with predictable geometric precision. It is found with averages of geometric probability piled on top of 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 throughout this study as 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 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 “hidden variables” of quantum theory.
The inevitable startling mathematical conclusion is that "randomness" is only the possibility of 1 of 2 directions in a matrix of pi.
We cannot see the forest for the trees. The reason is also a philosophical conclusion: relative to serial random measurements of gravity, we and the forest and the trees …including our perceptions and traditional random theories and games and ideas and measurements and statistics and quantum theories and descriptions and conclusions are all ...just so much relative pi in rotation!