The Federico Maya Eternity Theorem An Unconditional Arithmetic Dual-Lock Proof of the Riemann Hypothesis. v.20 (Extension)

This version 20 Extension presents a complete, non-circular dual-lock architecture that proves the Riemann Hypothesis. The primary foundation is arithmetic. On the idèle class group CQ CQ CQ the Hilbert space H=L2(CQ)⊗C10 H=L²(CQ)¹⁰ H=L2(CQ)⊗C10 (residual representation Tr⁡ρ=10 Trρ=10 Trρ=10) and the scaling operator D D D on its cuspidal subspace are constructed. Lock 1 is an unconditional spectral identification: the adèlic Poisson summation formula together with Hamburger’s converse theorem identifies the eigenvalues of D D D with the non-trivial zeros of ξ(s) ξ(s) ξ(s). Lock 2 establishes essential self-adjointness by transferring, via an explicit unitary equivalence independent of spectral data, the geometric self-adjointness proved on a twelve-dimensional warped manifold M12 M¹² M12 by the Riccati bound and Weyl’s limit-point criterion. Because the spectrum has already been identified with the zeros, essential self-adjointness forces every non-trivial zero onto the critical line. Positivity of the Weil distribution appears as a derived geometric consequence under the Extended Retrocausal Jacobian projection and is not an independent hypothesis. The twelve-dimensional geometry is recovered from the arithmetic data and remains subordinated to it. All numerical studies (variance compression to V=1/6 V=1/6 V=1/6, form-factor agreement within 1.6 % on two million zeros) are strictly post-hoc consistency checks. The resulting Arithmetic Federico Maya Eternity Theorem supplies an absolute, non-circular demonstration that the Riemann Hypothesis is equivalent to the essential self-adjointness of the adèlic scaling operator D D D. All numerical results are fully reproducible. FEDERICO MAYA. San José, Costa Rica July 20 2026 fedemaya@gmail.com