The Federico Maya Eternity Theorem: A Dual-Lock Proof of the Riemann Hypothesis (v.28 Extension) with Supplementary Lean 4 Formalization

This record contains the complete v.28 Extension of The Federico Maya Eternity Theorem, a dual-lock arithmetic-geometric proof of the Riemann Hypothesis, together with its accompanying Lean 4 formalization. The proof is organized in two independent locks: Lock 1 (Arithmetic identification) – The regularized cuspidal trace of the adèlic scaling operator on the idèle class group is shown to satisfy the three hypotheses of Hamburger’s converse theorem, identifying its discrete spectrum with the non-trivial zeros of the completed Riemann ξ ξ ξ-function. Lock 2 (Reality protection) – An explicit, spectrally blind unitary intertwiner transfers essential self-adjointness from a twelve-dimensional warped product (via a saturated Riccati bound and Weyl’s limit-point criterion) back to the arithmetic operator. The supplementary Lean 4 modules enforce an architectural quarantine between the arithmetic and geometric namespaces and contain machine-checked proofs that the Dirichlet boundary condition inherited from Lock 1 rejects the anomalous Frobenius mode r−0.34 r-0.34 r−0.34, forcing the deficiency indices to vanish. No numerical location of any zero is used at any stage of the argument. 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 rights are strictly reserved. FEDERICO MAYA. San José, Costa Rica 02 August 2026 fedemaya@gmail.com