Construction of models of universe on the Riemann hypothesis

TL;DR

This paper refines a theorem related to the Riemann hypothesis to construct models of the universe with positive density and pressure, providing a more plausible theoretical framework for cosmological models.

Contribution

It removes an implausible assumption in Moser's theorem to establish a new lower estimate for a sum involving prime-related functions under the Riemann hypothesis.

Findings

Provides a lower estimate for the sum p + c^2ρ on the Riemann hypothesis

Constructs models of universe with positive density and pressure using a state equation

Removes an implausible assumption in previous theorems

Abstract

The aim of this note is to remove an implausible assumption in Moser's theorem \cite{JM} to establish our new theorem 1 which gives a lower estimate for the sum $p+c^2\rho$ on Riemann hypothesis. Corollary 1 gives a rather plausible construction of infinitely many models of universe with positive density($\rho$) and pressure($p$) since it makes use of the state equation in the form of an inequality.