Physical interpretation of the Riemann hypothesis

TL;DR

This paper provides a physical interpretation of the Riemann hypothesis within quantum theory, introduces related power series, and argues that the hypothesis is true but undecidable, requiring it to be accepted as an axiom.

Contribution

It offers a novel physical perspective on the Riemann hypothesis and introduces new mathematical tools related to the Xi function and polynomial roots.

Findings

Riemann hypothesis is shown to be true

The hypothesis is undecidable and should be accepted as an axiom

New power series related to the Xi function are analyzed

Abstract

An equivalent formulation of the Riemann hypothesis is given. The physical interpretation of the Riemann hypothesis equivalent formulation is given in the framework of quantum theory terminology. One more power series related to the Riemann Xi function and the Riemann hypothesis is considered. Some roots of the polynomial connected with the power series are studied. It is shown that the Riemann hypothesis is true. But it is undecidable and must be considered as an axiom.