Structural Framework of Riemann Hypothesis with Insight into the Spiral Structure for Elementary Particles

Abstract

In this paper we try to review the relation between the zeroes of zeta function with the symmetry observed in the elementary particles. We try to establish the framework for Riemann hypothesis with the physical correspondence to the spiral structure for elementary particles which explains the hypothesis i.e. all non-trivial zeroes of the zeta functions have real part of one-half and provides a probabilistic field to analyze through the spin orientation of stable elementary particles. The only pole at s=1 due to discontinuity can be explained through the structural dynamics of force carriers with unit spin. We also derive the pattern for prime numbers based on its geometric distribution analogous to the spiral structure for the elementary particles.