Riemann Hypothesis and Curvature Stability: Ω-Theoretic Resolution (v11 final-supplemented) Sub: The Resonance of ζ — Primes, Cicadas, and the Critical Line

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.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-05-15
DOI
https://doi.org/10.5281/zenodo.15425545
Primary Topic
History and Theory of Mathematics
Type
article
Field-Weighted Citation Impact
0.00
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article

Riemann Hypothesis and Curvature Stability: Ω-Theoretic Resolution (v11 final-supplemented) Sub: The Resonance of ζ — Primes, Cicadas, and the Critical Line

Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
article

Riemann Hypothesis and Curvature Stability: Ω-Theoretic Resolution (v11 final-supplemented) Sub: The Resonance of ζ — Primes, Cicadas, and the Critical Line

article en

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.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 56%
History and Theory of Mathematics
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Riemann Hypothesis and Curvature Stability: Ω-Theoretic Resolution (v11 final-supplemented) Sub: The Resonance of ζ — Primes, Cicadas, and the Critical Line · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS