The Federico Maya Eternity Theorem v20: Arithmetic Dual-Lock Architecture and Geometric Realization of the Riemann Hypothesis

This version presents a dual-lock architecture that establishes an equivalence between the Riemann Hypothesis and the essential self-adjointness of a natural scaling operator in The Federico Maya Eternity Theorem. **Primary (Arithmetic) Foundation** On the idèle class group \(C_Q\) we construct the Hilbert space \(H=L^2(C_Q)¹⁰\) (residual representation with \(Trρ=10\)) and the scaling operator \(D\) on its cuspidal subspace. **Lock 1** identifies the discrete spectrum of \(D\) with the non-trivial zeros of \(ξ(s)\) via the adèlic Poisson summation formula and Hamburger’s converse theorem. **Lock 2** guarantees reality of the spectrum by positivity of the associated Weil distribution. The resulting **Arithmetic Federico Maya Eternity Theorem** states that the Riemann Hypothesis is equivalent to the essential self-adjointness of \(D\). **Secondary (Geometric) Realization** A twelve-dimensional warped Einstein-dilatonic manifold recovers the same dual-lock structure (residual \(Z_5\) holonomy, radial Riccati bound, spectral identification) as a continuous projection of the arithmetic data. High-statistics numerical validation on two independent ensembles of two million zeros is reported strictly as a post-hoc consistency check. The arithmetic formulation constitutes the logical closure of the argument. All numerical results are fully reproducible. FEDERICO MAYA. July 19 2026 fedemaya@gmail.com