Zero-count deviation identity, cubic repulsion and deterministic corridor: a conditional framework for analytic bound tightening

Abstract

Numerical evidence (298,190 zeros, t <= 200,000, fully verified; large-t sampling to 10^7 verified and 2x10^14 sampled) reveals: (1) an identity S(gamma_n) ~ sum delta_k with correlation r = 0.999958; (2) cubic repulsion P(u<eps) = 0.8 eps^3 with micro-calculus structure 0.8 = 2.4/3; (3) short-range negative autocorrelation rho_1..9 <= 0 (stable across 5 independent segments); (4) a deterministic corridor S in [-9.6, +2.5] (segment means constant at any scale, DFA alpha ~ 0); (5) corridor asymmetry from net drift E[delta] = -2.8e-5. Under Montgomery's pair correlation conjecture plus the cubic repulsion (verified numerically), we derive a conditional theorem |S(T)| <= C ~ 10.26, stronger than the Littlewood bound, consistent with Selberg's statistics. This is numerical evidence and a conditional framework, NOT a proof of the Riemann hypothesis. All scripts (pure Python stdlib) reproduce every result; full research trajectory included (verification framework -> identity -> conditional theorem -> deterministic corridor).