Physical Verification of the Riemann Hypothesis: GPU Implementation and Analysis of the Spectral Resonance Potential (SRP)
Year: 2025
Type: article
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.
Author: Wolny, Patryk
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7107948901
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