Liouville Function and Black Hole Physics: A Riemann Hypothesis Condition — E8 Intelligence Research

FINDING: Riemann hypothesis linked to black hole physics and arithmetical approach via Liouville function partial sums. MATH: Sufficient condition for RH: order of magnitude of partial sum of Liouville function λ(n) = (-1)^Ω(n) (Ω = total prime factors). Formula: Σ_{n≤x} λ(n) = O(x^{1/2+ε}) for all ε>0 is equivalent to RH. No explicit constants or ratios derived. CONNECTION: No geometric ratios (0.382, 0.618, 0.786, 1.618, 2.618), base-60, or crystallographic symmetries appear in these findings. The black hole link is qualitative, not quantitative. DEPTH: 3 — The arithmetical condition is standard; no new breakthrough. The black hole connection is speculative, not mathematically rigorous. No geometric harmony or novel constants. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com