Riemannium nucleus and quantum solution to the Riemann hypothesis (RH)

POSTER

Abstract

Is there an energy spectrum according to the primes numbers? This raises the question whether physical systems whose spectrum is the Riemann zeta function; ie, is there a spectrum of resonances of a nucleus that are the zeros of the zeta function? The renowned HR is basically preceded by the Euclid principle, the Euler product and the Gauss theorem. The best mathematical interpretation is the one that threw Riemannian revolution. HR holds that the nontrivial zeros of the zeta function keep the harmony of primes, but this is not fully tested. There are two possibilities: The HR can be true, then the primes have harmony, but if false, they nest in the chaos. The idea of this is important for studying models of quantum chaos is getting stronger in the last decade. These investigations lead us to believe that a highly mathematical problem becomes a physical problem; because according to Hugh Montgomery and Michael Berry the variations of the zeros, with drums and quantum billiards, can provide a physical model for explain the primes. In this paper, we generate the Mount Riemann by using MATHEMATICA and we get the profile that relates the prime numbers with the zeros of the zeta function; also we explain how quantum helps to explain the famous old problem known as the conjecture of Riemann.

Authors

  • Carlos Figueroa-Navarro

    Departamento de Ingenieria Industrial, Unidad Regional Centro, Universidad de Sonora, Departamento de F\'isica e Ingenier\'ia, Unidad Regional Sur, Universidad de Sonora, Departamento de Ingenier\'ia Industrial, Unidad Regional Centro, Universidad de Sonora

  • Julio Campos-Garcia

    Departamento de Ciencias de la Salud, Unidad Cajeme, Universidad de Sonora

  • Mart\'In Molinar-Tabares

    Organismo de Cuenca Noroeste, Comisi\'on Nacional del Agua, Organismo de Cuenca Noroeste, Comision Nacional del Agua

  • Lamberto Castro-Arce

    Departamento de Fisica e Ingenieria, Unidad Regional Sur, Universidad de Sonora, Departamento de F\'isica e Ingenier\'ia, Unidad Regional Sur, Universidad de Sonora