Title: Higher-Order Riemann Hypothesis – Quantum Correlation as a Constraint

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

The Riemann Hypothesis, a long-standing unsolved problem in number theory, poses a fundamental challenge to our understanding of the distribution of prime numbers. While its impact on the arithmetic of prime numbers is well-established, its subtle implications for the underlying structure of quantum mechanics remain largely unexplored. This paper investigates the potential for quantum correlations within the prime number distribution to provide a novel constraint on the fundamental laws of quantum mechanics, proposing a new mathematical tool to quantify these correlations and demonstrate their significance. We argue that these correlations, if quantifiable, could reveal a deeper connection between number theory and quantum phenomena, potentially leading to new insights into the nature of reality. This work will explore the potential for entanglement-based approaches to quantify these correlations, providing a rigorous theoretical framework for investigating this intriguing connection.

DOI: 10.5281/zenodo.22194972

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