A symmetric model of prime number placement by dual cord at the half line of the Inverse Fixed cone at 1:3 Pythagoras , in a fixed numbers matrix

Abstract

To put the proverbial cart before the horse this mathematics needs no proofs as the proofs are in the matrix of the presentation . The proof of the oscillation of the prime numbers at the half line is proved by a pure mathematics placement sieve that has been worked till 50 thousand Prime numbers and yet to be programmed as two distinct placement values of prime numbers that are symmetric with two cords of prime numbers ( Mathematically it is impossible to have oscillation of prime numbers, without two defined cords, a single cord cannot oscillate , and there has to be a mathematically well defined half-line). The proof of the two cords presented in this paper is clear by several methods including a new quadratic algebra which is foreign to current mathematics. The symmetry between these two placements of prime numbers by two cords and oscillations at the half line are synergistically symmetric and as such symmetry across a half line is absolute proof in mathematics. The authors have shown a single mode of symmetry by the sieve and placement of prime numbers by dual cords , in a placement order of numbers at an inverse cone at -1. Mathematics is the mother of science , and before there was matter there was space , that space is mathematically rational and this rationality is described here in the form of a fixed inverse cone at -1 that allows for the finite spherical expansion of the cone. Mathematically the zero has to be -1 and not null zero for any space to be expansible , and it is obvious the universe of mathematics is expansible and curved .It is shown that prime numbers have a symmetrical placement in the expansion of numbers placement at a half line , as these numbers do indeed hug the half line as clearly shown by the precise mode. The mathematical fact of oscillation of the two cords of prime numbers , in a spiral configuration is suggested in this mathematical analysis. It is clearly shown that prime number 5 is the base configuration and the rest of the numbers continuum follows this configuration, as there is clear evidence that Prime numbers are placed at the half line of an inverse cone 1:3 , and that half line is constant at value 3 and multiples of 3 at the configuration of prime number 5 which has been explained . Also explained is the tight fit of the inverse cone and the mathematical fact that the inverse cone in its expression represents a perfect sphere, with periodic expression of the 3+ Pi digits derived at the slope of the Pythagoras 1:3 ( value √10). Lastly the base prime numbers shape and control all the manifestations of space and speed , and energy as expressed by their inverse curves. That aspect is far too complex for current mathematics and is not discussed in this paper.