Riemann Hypothesis Linked to Black Hole Physics via Liouville Sum Condition — E8 Intelligence Research

FINDING: Riemann hypothesis linked to black hole physics and arithmetical approach via Liouville partial sums | MATH: ζ(s) = Σ n⁻ˢ (Re(s) > 1); analytic continuation to critical strip 0 < Re(s) < 1; non-trivial zeros conjectured on Re(s) = 1/2; sufficient condition: partial sum of Liouville function λ(n) must be O(x^(1/2+ε)) for all ε>0 | CONNECTION: No explicit geometric ratios (0.382, 0.618, 0.786, 1.618, 2.618) or base-60 or crystallographic symmetries found in these sources. The arithmetical approach uses Liouville function, which is multiplicative and related to parity of prime factors — no direct harmonic or lattice connection. Black hole link is speculative (Sabine Hossenfelder video) — no equations given. | DEPTH: 3 — The arithmetical sufficient condition is mathematically precise but not new; the black hole connection is popular science, not a rigorous result. No geometric harmony or profound structural insight extracted. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com