## Saturday, November 21, 2015

### FERMAT'S LAST THEOREM PART 3

FERMAT'S LAST THEOREM PART 3
Why is FLT65 important in regard to understanding quantum physics and consciousness? Because all reality exists in whole number multiples of the smallest possible quantum. This means that Diophantine (whole number) equations provide the perfect mathematics to describe objective reality, and the equation of Fermat's Last Theorem is a Diophantine equation. When FLT is applied to the Diophantine equations describing the combination of elementary particles, it explains why quarks can only combine in threes. This leads directly to the discovery of the third form of  the substance of reality, linking consciousness to subatomic reality.

A BRIEF HISTORY OF FLT and FLT65.
Sometime in 1636 or 1637, Pierre de Fermat wrote in Latin in the margin of a book on Diophantine equations [1] the first known statement of a theorem that became known as “Fermat’s Last Theorem” (FLT). His ‘marvelous’ proof [1], was never found and FLT remained without formal proof for more than three centuries. Because of this, it is perhaps the most famous theorem in the history of mathematics. In modern representation, FLT is stated as follows:

No three positive integers X1, Y1, and Z1 can satisfy the equation xN +yN = zN for any integer value of N >2. A modern proof, attributed to Sir Andrew Wiles was published 1995. [3] This proof was, as indicated, the first generally accepted proof. Dr. Wiles is said to have spent seven years completing it.
In 1965, three decades before Wiles’ proof was announced, the author, Edward R. Close, produced a proof of FLT. It was completed in December 1965 and is, therefore, referred to in this paper as FLT65. A brief summary of the history of the proof is provided, and an exact copy of the original FLT65 proof is presented in Appendix A.
At the time he produced the proof, the author was still early in his career: At that point he held a Bachelor’s degree in mathematics, and was a member of Kappa Mu Epsilon, the National Honorary Mathematics Society.
FLT65 was submitted to a professional mathematician for review for the first time in 1966[2] and it was first published it in 1977 in a book, as an appendix, pages 93 – 99, in “The Book of Atma” [5]. Over the years, the author attempted to get FLT65 peer reviewed and published in mathematics journals several times. These attempts did not succeed for reasons that are discussed in detail in this paper.

The nearest the author came to succeeding was with the Journal of Number Theory in April 1985. The editor then, Dr. Hans Zassenhaus, was encouraging; and, because he could not find a willing peer reviewer, offered to review it himself.  While Dr. Zassenhaus was reviewing FLT65, the author’s career took him to several remote locations in the Middle East over a period of several years, making correspondence very slow and difficult. Before the process could be completed, Dr. Zassenhaus retired, and the next Editor of the Journal was not very interested in “simple” proofs of FLT. Later, upon returning to the US, the author attempted to resume their correspondence and learned that, unfortunately, Dr. Zassenhaus had passed away.

Over the years, the proof has been submitted to more than fifty mathematicians, the great majority of whom found nothing wrong, and no one has actually disproved FLT65.

[1] A Diophantine equation is an equation in which only integer solutions are allowed. The infamous difficulty of proving Fermat’s Last Theorem prompted David Hilbert, recognized as one of the most prolific mathematicians of the 19th and early 20th centuries, to include, as number 10 in his List of the most important problems of mathematics, [4] the problem of finding a general algorithm for solving Diophantine equations. No such general algorithm has been found to date.