It stands for infinitely countable indivisibles. But what are they? Within the set of whole numbers they are prime numbers. They are distributed without any predictable pattern. They were proved infinitely many by Euclid since 300 BC. However, in a sieve of Diophantus a group pattern emerged with countably infinite repeating numbers 1, 2,3,..., ¥ of distinct groups. Each group consists of 6 numbers: a mixture of evens, odds, and primes. If they form a 3x2 matrix then the 1st row is always divisible by 3 (elements e11 and e12). The 1st column is always evens (e11, e12, e13). The 2 remaining numbers are in prime positions (e22, e32). If they are both primes then they are twin primes. If they are not primes then they can only be unique multiples of primes.
If the 2nd and 3rd or 1st and 2nd rows are formed into a 2x2 matrix then its inverse always has a factor 1/6 while the elements at e11 switch with e22 into negative rationals. The 2nd millennium surprise discovery of all 2x2 inverse matrices formed from any group within a sieve of Diophantus starting with the 2nd group that is always a factor 1/6 of the sum of inverse of the 1st group and 6-multiples of a singular Hadamard matrix. For a cubic lattice, there are 8 distinct 2x2 matrices (or 4 pairs of mutual inverses) occupying all 8 vertices. These unique vertices can then serve as a 3D basis and spans the entire 3D network of quantum of space-time as squares of energy.


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