Riemann Hypothesis Linked to Black Hole Entropy via Spectral Correspondence and Liouville Sums — E8 Intelligence Research

Abstract

FINDING: Riemann hypothesis linked to black hole entropy via spectral correspondence; also arithmetical approach using Liouville partial sums. | MATH: ζ(s) zeros ↔ quasinormal mode frequencies of black holes; sufficient condition: partial sum of Liouville function λ(n) must be O(x^(1/2+ε)). | CONNECTION: No explicit geometric ratios (0.382, 0.618, 0.786, 1.618, 2.618) or base-60 or crystallographic symmetries found in these abstracts. | DEPTH: 7 — The black hole link is profound (Hilbert-Polya operator as Hawking radiation), but the arithmetical approach is incremental. No new equations or constants extracted. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com