Riemann's hypothesis and some infinite set of microscopic universes of the Einstein's type in the early period of the evolution of the Universe

TL;DR

This paper explores the implications of the Riemann hypothesis for topological deformations of the zeta function's graph, proposing a model for microscopic universes of Einstein type at Planck scale.

Contribution

It introduces a novel connection between the Riemann hypothesis and the theoretical construction of microscopic universes based on topological deformations.

Findings

Constructed a class of topological deformations of |z|

Proposed an infinite set of microscopic Einstein-like universes

Linked the Riemann hypothesis to cosmological models at Planck scale

Abstract

We obtain in this paper, as a consequence of the Riemann hypothesis, certain class of topological deformations of the graph of the function $|\zf|$. These are used to construct an infinite set of microscopic universes (on the Planck's scale) of the Einstein type. Dedicated to the 90th anniversary of the A.S. Edington's book \emph{The mathematical theory of relativity}.