Title: The Riemann Hypothesis Revisited: Quantum-Enhanced Non-Euclidean Geometry – A New Computational Paradigm

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

The Riemann Hypothesis, a cornerstone of number theory, remains one of the most persistent and challenging unsolved problems in mathematics. Its implications extend far beyond its immediate mathematical value, touching upon fundamental questions about the nature of space and the distribution of prime numbers. This paper explores a novel computational paradigm centered on quantum entanglement, proposing a method for exploring the Riemann Hypothesis space through a quantum superposition of geometries. We investigate the potential of this approach to identify subtle patterns and correlations that are currently obscured by classical computation, potentially offering a pathway to a deeper understanding of the hypothesis's implications. We outline a preliminary algorithm and discuss the theoretical implications of utilizing quantum entanglement to address this longstanding challenge.

DOI: 10.5281/zenodo.22593393

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