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