Symmetry of the Riemann Operator

TL;DR

This paper explores the symmetry properties of the Riemann operator, linking its eigenvalues to the non-trivial zeros of the Riemann zeta function through chaos quantization conditions and discussing their geometric interpretation.

Contribution

It introduces a novel perspective on the Riemann operator's symmetry and its relation to the zeros of the zeta function via chaos quantization conditions and geometric insights.

Findings

Eigenvalues of the Riemann operator relate to non-trivial zeros of zeta function.

Chaos quantization conditions provide a framework for understanding these eigenvalues.

Geometrical interpretation offers new insights into the structure of the zeros.

Abstract

Chaos quantization conditions, which relate the eigenvalues of a Hermitian operator (the Riemann operator) with the non-trivial zeros of the Riemann zeta function are considered, and their geometrical interpretation is discussed.