Riemann Hypothesis and Curvature Stability: Ω-Theoretic Resolution (v11 final-supplemented) Sub: The Resonance of ζ — Primes, Cicadas, and the Critical Line
Year: 2025
Type: article
Abstract: This v11 final-supplemented version includes an extended resonance analysis in Appendix B.3, where composite cicada signal spectra are expanded across 0.2–0.3 Hz. A sharp peak at 0.241 Hz aligns with the critical line Re(s) = 1/2 of the Riemann zeta function. This natural resonance strengthens the spectral analogy between biological phenomena and the zero distribution of ζ(s). The supplement further reinforces the original Ω-theoretic framework, supporting the convergence and zero density behavior with extended figures and updated spectral data.
Author: 上田, 高之
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6949657308
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