Zero-Count Deviation Identity: S(T) as Accumulated Gap Fluctuation

Abstract

Numerical identity: S(γ_n) ≈ Σ_{k<n}(1 − gap_k/ρ(t_k)), ρ(t) = 2π/log(t/2π), verified over 298,190 zeros (t ≤ 200,000) with r = 0.999958. The ρ-choice is uniquely pinned: fixed/halved/ doubled alternatives give r ≈ −0.38/0.94/−0.94. Residual error converges (0.48 → 0.11). This is a numerical identity, NOT a proof. Pure Python, fully reproducible.