Physical Verification of the Riemann Hypothesis: GPU Implementation and Analysis of the Spectral Resonance Potential (SRP)

In this paper, I present a comprehensive numerical and theoretical proof for the validity of the physical interpretation of the Riemann Hypothesis. By constructing a self-adjoint Hamiltonian operator acting on a defined space, I identify the zeros of the zeta function as the energy levels of a chaotic system. A key discovery is the derivation of the Spectral Resonance Potential, an oscillatory force field structure that forces the quantization of prime numbers. Utilizing a custom computational engine called Quantum Scanner based on the NVIDIA CUDA architecture, I simulated wave interference for a large dataset of zeros, achieving one hundred percent accuracy in prime number detection. The paper also defines the fundamental resolution limit of the method, resulting from the Heisenberg uncertainty principle in the logarithmic domain.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-11-28
DOI
https://doi.org/10.5281/zenodo.17753414
Primary Topic
Computational Physics and Python Applications
Type
article
Field-Weighted Citation Impact
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article

Physical Verification of the Riemann Hypothesis: GPU Implementation and Analysis of the Spectral Resonance Potential (SRP)

Zenodo (CERN European Organization for Nuclear Research)
Computational Physics and Python Applications
article

Physical Verification of the Riemann Hypothesis: GPU Implementation and Analysis of the Spectral Resonance Potential (SRP)

article en

Abstract

In this paper, I present a comprehensive numerical and theoretical proof for the validity of the physical interpretation of the Riemann Hypothesis. By constructing a self-adjoint Hamiltonian operator acting on a defined space, I identify the zeros of the zeta function as the energy levels of a chaotic system. A key discovery is the derivation of the Spectral Resonance Potential, an oscillatory force field structure that forces the quantization of prime numbers. Utilizing a custom computational engine called Quantum Scanner based on the NVIDIA CUDA architecture, I simulated wave interference for a large dataset of zeros, achieving one hundred percent accuracy in prime number detection. The paper also defines the fundamental resolution limit of the method, resulting from the Heisenberg uncertainty principle in the logarithmic domain.

Zenodo (CERN European Organization for Nuclear Research)
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