The Federico Maya Eternity Theorem: A Dual-Lock Proof of the Riemann Hypothesis. v.26

This manuscript presents a complete, non-circular proof of the Riemann Hypothesis utilizing a dual-lock architecture constructed on the idèle class group CQ=AQ×/Q×. The logical foundation relies strictly on unbounded operator theory, classical harmonic analysis, and differential geometry, completely decoupling the generation of the discrete spectrum from the enforcement of its reality. Lock 1 (Arithmetic Identification): Constructs a densely defined scaling operator on the cuspidal subspace of an idèlic Hilbert space. By applying the adèlic Poisson summation formula and Hamburger's converse theorem, the discrete spectrum is strictly identified with the real ordinates of the non-trivial zeros of the completed Riemann zeta function, ξ(s). Lock 2 (Geometric Reality Protection): Employs a spectrally blind unitary intertwiner to map the arithmetic operator to a 12-dimensional warped product manifold. The radial dynamics reduce to a Schrödinger operator on the half-line that satisfies a uniform Riccati bound. Weyl's limit-point criterion forces both deficiency indices to vanish, proving essential self-adjointness and guaranteeing the spectrum is strictly real. The framework utilizes a finite-dimensional residual representation of dimension N=10, uniquely forced by the topological rank of the vertical tangent bundle and tadpole cancellation under a doubled scaling flow. This geometric parameter operates independently of any spectral fitting. The conjunction of the two independent locks places every non-trivial zero exactly on the critical line Re(s)=1/2. Implications for the eternality of spectral information are deferred to a subsequent paper. An earlier extended version is 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 rights are strictly reserved. FEDERICO MAYA. San José, Costa Rica July 30 2026 [email protected]