Hyperbolic Deformation, Arithmetic Anti-Resonance, and an Improved Zero-Free Region for the Riemann Zeta Function

We establish four results connecting the spectral theory of GUE determinantal point processes to the arithmetic of the Weil explicit formula for the Riemann zeta function, developed within the Marsh-Feagans Spectral Algebra (MFSA) framework. (1) The cosh bridge: the hyperbolic deformation parameter δ that destroys Hermiticity of the GUE sine kernel (sinh(πδ)) is identical to the parameter amplifying off-line zero contributions in the Weil quadratic form (cosh(δt)), connecting operator-theoretic and arithmetic proof strategies unconditionally. (2) Zero-specific anti-resonance: computational study of 235,220 prime powers showing phase bias of cos(γ·k·log p) is 50.66% negative at zeta zero frequencies, 50.06% between zeros, 49.98% at random frequencies. The Stirling normalization constant Δ = -ln(2π)/2 resolves the explicit formula to 0.1%. (3) Stellation duality: discrete anti-resonance in coprime-pair sums at primorial frequencies establishes a duality between zeta-zero and coprime-residue spectral bases of the prime indicator function. (4) Conditional zero-free region: combining cosh bridge with Huxley density estimate gives Re(ρ) < 0.9, conditional on a sign lemma for narrow-band test functions. Presented as a dual-track document: mathematical extraction (Ledger) interwoven with the generative symbolic architecture (Codex) from which it emerged.