The Federico Maya Eternity Theorem: A Dual-Lock Proof of the Riemann Hypothesis. v.25

Complete dual-lock proof of the Riemann Hypothesis on the idèle class group CQ=AQ×/Q× C_{\mathbb{Q}}=\mathbb{A}_{\mathbb{Q}}^\times/\mathbb{Q}^\times CQ=AQ×/Q×. Lock 1 realises the arithmetic identification of the discrete spectrum of the scaling operator D \mathcal{D} D with the non-trivial zeros of ξ(s) \xi(s) ξ(s) via the adèlic Poisson summation formula and Hamburger’s converse theorem, with explicit Plancherel remainder estimates (Cρ≤2.15 C_\rho\le 2.15 Cρ≤2.15, master bound 8.4 8.4 8.4). Lock 2 realises essential self-adjointness of D \mathcal{D} D by means of a spectrally blind unitary intertwiner V V V and a global saturated Riccati bound on a twelve-dimensional warped product; Weyl’s limit-point criterion forces the deficiency indices to vanish. The conjunction of the two locks places every non-trivial zero on the critical line Re⁡(s)=12 \operatorname{Re}(s)=\frac12 Re(s)=21. The argument is non-circular: Lock 1 never uses self-adjointness and Lock 2 never uses the location of the zeros. 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 27 2026 [email protected]

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-27
DOI
https://doi.org/10.5281/zenodo.21632741
Primary Topic
Spectral Theory in Mathematical Physics
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article
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article

The Federico Maya Eternity Theorem: A Dual-Lock Proof of the Riemann Hypothesis. v.25

Federico Maya
Zenodo (CERN European Organization for Nuclear Research)
Spectral Theory in Mathematical Physics
article

The Federico Maya Eternity Theorem: A Dual-Lock Proof of the Riemann Hypothesis. v.25

Federico Maya
article en

Abstract

Complete dual-lock proof of the Riemann Hypothesis on the idèle class group CQ=AQ×/Q× C_{\mathbb{Q}}=\mathbb{A}_{\mathbb{Q}}^\times/\mathbb{Q}^\times CQ=AQ×/Q×. Lock 1 realises the arithmetic identification of the discrete spectrum of the scaling operator D \mathcal{D} D with the non-trivial zeros of ξ(s) \xi(s) ξ(s) via the adèlic Poisson summation formula and Hamburger’s converse theorem, with explicit Plancherel remainder estimates (Cρ≤2.15 C_\rho\le 2.15 Cρ≤2.15, master bound 8.4 8.4 8.4). Lock 2 realises essential self-adjointness of D \mathcal{D} D by means of a spectrally blind unitary intertwiner V V V and a global saturated Riccati bound on a twelve-dimensional warped product; Weyl’s limit-point criterion forces the deficiency indices to vanish. The conjunction of the two locks places every non-trivial zero on the critical line Re⁡(s)=12 \operatorname{Re}(s)=\frac12 Re(s)=21. The argument is non-circular: Lock 1 never uses self-adjointness and Lock 2 never uses the location of the zeros. 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 27 2026 [email protected]

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