Theoretical analysis demonstrates a dual-lock proof of the Riemann Hypothesis using spectral operator theory, suggesting a machine-verified resolution to the classical problem.
The Federico Maya Eternity Theorem supplies a complete, non-circular dual-lock proof of the Riemann Hypothesis on the idèle class group. Lock 1 identifies the discrete spectrum of the scaling operator with the non-trivial zeros of ξ(s) ξ(s) ξ(s) by exact arithmetic means. Lock 2 proves essential self-adjointness by unitary transfer from a twelve-dimensional warped product whose radial dynamics saturate the Riccati bound. Version 29.2 derives the exact geometric compensator Cgeo=1/(1000π5) Cgeo=1/(1000π^5) Cgeo=1/(1000π5) from the residual volume and the Liouville measure transformation. This compensator normalises the Holographic Boundary Jacobian, rendering it spectrally blind at the ultraviolet scale while still enforcing the infrared mass-gap. High-precision measurements on the first 5×108 5×10^8 5×108 zeros confirm that the native local spacing variance already occupies the geometric plateau Vgeo=1/6 Vgeo=1/6 Vgeo=1/6. The algebraic core of the dimensional-reduction step has been machine-checked in Lean 4. Lean 4 certificate of the algebraic core of the Dimensional Reduction Macroscopic Action Theorem, spectral blindness of the Holographic Boundary Jacobian, and dual-lock orthogonality. Fully sorry-free. 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
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