Working Hypothesis: "Zeta Function Resonance Grid" Riemann Hypothesis
Year: 2025
Type: article
Abstract: We propose a wave-based physical interpretation of the Riemann Hypothesis by modeling the zeta function as a standing wave in logarithmic space. We show that the sum of complex waveforms of the form ψ_t(x) = x^{-1/2 + it}, where t is the imaginary part of a nontrivial zero of ζ(1/2 + it), forms an interference structure with annihilation points. We introduce a self-adjoint operator H whose spectrum potentially matches the imaginary parts of the Riemann zeta function’s nontrivial zeros. An AI model was trained to detect annihilation regions based on local wave patterns, achieving 100% accuracy on both real and synthetic tests. The model distinguishes genuine zeta zeros from artificially shifted frequencies and anticipates zero-like behavior even in narrow intervals. This approach could lay the foundation for a spectral proof of the Riemann Hypothesis.
Author: Reut Oleg
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6930719860
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