The Riemann hypothesis proved

TL;DR

This paper claims to have proved the Riemann hypothesis by employing quantum extensions of the zeta function and algebraic topological methods involving quantum complex manifolds and bordism groups.

Contribution

It introduces a novel approach by extending the zeta function into a quantum mapping framework using quantum algebra and topology, claiming a proof of the Riemann hypothesis.

Findings

The Riemann hypothesis is proved.

Quantum algebra and topology are used to analyze the zeta function.

Quantum complex manifolds and bordism groups are key tools.

Abstract

The Riemann hypothesis is proved by quantum-extending the zeta Riemann function to a quantum mapping between quantum $1$-spheres with quantum algebra $A=\mathbb{C}$, in the sense of A. Pr\'astaro \cite{PRAS01, PRAS02}. Algebraic topologic properties of quantum-complex manifolds and suitable bordism groups of morphisms in the category $\mathfrak{Q}_{\mathbb{C}}$ of quantum-complex manifolds are utilized.