Physical Necessity of the Riemann Hypothesis Derivation via Information Unitarity and Orthogonal Quantization in the BNC Master Equation

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Authors: Tamiyuki Takahashi
Cited by: 0

Abstract

For over 160 years, the Riemann Hypothesis has remained the most significant unsolved problem in pure mathematics. This paper presents a physical solution to this hypothesis within the framework of Bulk Network Cosmology (BNC). We demonstrate that the non-trivial zeros of the Riemann zeta function $\zeta(s)$ residing on the critical line $Re(s) = 1/2$ are not a mathematical coincidence, but a physical necessity for the universe to maintain information unitarity. Specifically, we introduce the mechanism of "Orthogonal Quantization" at the phase angle $\pi/2$, which acts as a filter to crystallize continuous spacetime fluctuations into discrete prime numbers. We conclude that the Riemann Hypothesis is mathematically equivalent to the Stability Condition of the BNC Master Equation, proving that any deviation from the critical line would result in the catastrophic collapse of the spacetime metric.

Fields of Study & Subjects

Cosmology and Gravitation Theories Advanced Mathematical Theories and Applications Earth Systems and Cosmic Evolution

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
7 January 2026
Document type
Preprint