The Federico Maya Eternity Theorem: A Dual-Lock Proof of the Riemann Hypothesis v.29 (Extension)

The Riemann Hypothesis asserts that every non-trivial zero of the completed Riemann zeta function ξ(s) ξ(s) ξ(s) lies on the critical line Re⁡(s)=12 Re(s)=12 Re(s)=21. The Federico Maya Eternity Theorem provides a complete, non-circular proof of this statement by means of a dual-lock architecture constructed on the idèle class group CQ=AQ×/Q× CQ=AQ×/Q× CQ=AQ×/Q×. Lock 1 proceeds by exact arithmetic identification: after algebraic annihilation of the continuous spectrum the adèlic Poisson summation formula yields a Mellin transform that coincides with a non-zero multiple of ξ′/ξ ξ'/ξ ξ′/ξ, the remainder being identically zero. Consequently the discrete spectrum of the scaling operator consists precisely of the non-trivial zeros of ξ(s) ξ(s) ξ(s). Lock 2 establishes essential self-adjointness. An explicit unitary intertwiner realises the operator on a twelve-dimensional warped product whose radial dynamics obey a topologically determined Riccati bound; Weyl’s limit-point criterion forces both deficiency indices to vanish and transfers essential self-adjointness back to the arithmetic operator. The conjunction of the two locks places every non-trivial zero on the critical line. No appeal is made, at any stage, to the numerical location of the zeros. This deposit contains: the full manuscript (v.29 (Extension, 77 pages), the complete Lean 4 verification document (Residual fiber realization of Locks 1 and 2 algebraic core). Implications for the eternality of spectral information are deferred to a subsequent paper. 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 10 August 2026 fedemaya@gmail.com https://orcid.org/0009-0002-3837-7543