The Federico Maya Eternity Theorem: A Dual-Lock Proof of the Riemann Hypothesis v.29.3 with Analytical Lean 4 Supplement

This deposit contains version 29.3 of the Federico Maya Eternity Theorem, a dual-lock arithmetic-geometric proof of the Riemann Hypothesis constructed on the idèle class group. Lock 1 (Value Identification) proceeds by exact arithmetic identification. Restriction to the strict cuspidal Schwartz–Bruhat subspace annihilates the continuous spectrum. The adèlic Poisson summation formula then yields a geometric side consisting solely of local orbital integrals that reproduce the Dirichlet series of ξ(s) together with its Archimedean factor. The residual representation contributes only the constant factor Tr ρ = 10. Consequently the discrete spectrum of the scaling operator consists precisely of the non-trivial zeros of ξ(s). Lock 2 (Reality Protection) establishes that the scaling operator is essentially self-adjoint. An explicit unitary intertwiner realises the operator on a twelve-dimensional warped product. After the Liouville transformation the radial dynamics reduce to a Schrödinger operator whose effective potential is generated by the saturated warp factor. Weyl’s limit-point criterion forces both deficiency indices to vanish. The residual volume Vol(F¹⁰) = 25 and the Riccati scale together determine the exact geometric compensator C_geo = 1/(1000 π⁵) ≈ 3.26776 × 10⁻⁶. This compensator normalises the Holographic Boundary Jacobian, rendering it spectrally blind at the ultraviolet scale while still enforcing the infrared mass gap. High-precision analysis of the first 5 × 10⁸ zeros confirms that the native and UV-shielded local spacing variances are identical (0.16628), establishing the numerical signature of spectral blindness and the orthogonality of the two locks. The algebraic identity for the compensator and the statement of dual-lock orthogonality have been machine-checked in Lean 4. This version supersedes all previous public releases of the theorem. Lean 4 certificate. An earlier versions are available at https://doi.org/10.5281/zenodo.21500329. Intellectual Property Notice: The mathematical frameworks, equations, and topological architectures detailed in this manuscript are currently protected under United States Patent and Trademark Office (USPTO) Provisional Application No. 63/984,236, titled "System and Method for Topological-Negentropic Quantum Control via Zeta-Manifold Resonance." All commercial engineering and intelectual rights are strictly reserved. FEDERICO MAYA. San José, Costa Rica 12 August 2026 fedemaya@gmail.com https://orcid.org/0009-0002-3837-7543