The Federico Maya Eternity Theorem An Unconditional Arithmetic Dual-Lock Proof of the Riemann Hypothesis. v.21

This work 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 we construct the Hilbert space H=L2(CQ,d×x)⊗C10 H=L²(CQ,d×x)¹⁰ H=L2(CQ,d×x)⊗C10 (with residual representation satisfying Tr⁡ρ=10 Trρ=10 Trρ=10) and the scaling operator D D D acting on its cuspidal subspace Hcusp Hcusp Hcusp. Lock 1 is an unconditional spectral identification: the adèlic Poisson summation formula applied to the regularized trace of D D D on Hcusp Hcusp Hcusp produces a meromorphic function F(s) F(s) F(s) that satisfies the three hypotheses of Hamburger’s converse theorem (Dirichlet series expansion, analytic continuation of order at most 1, and the functional equation ξ(s)=ξ(1−s) ξ(s)=ξ(1-s) ξ(s)=ξ(1−s)). Consequently the eigenvalues of D D D are identified with the non-trivial zeros of the completed Riemann zeta function ξ(s) ξ(s) ξ(s). This identification is purely arithmetic and makes no reference to the location of the zeros. Lock 2 establishes essential self-adjointness. The same operator is realized on a twelve-dimensional warped Einstein-dilatonic manifold M12 M¹² M12 whose radial warp factor satisfies the uniform Riccati bound u′+u2≤ρ u'+u²≤ρ u′+u2≤ρ. Weyl’s limit-point criterion then implies vanishing deficiency indices. An explicit unitary equivalence, constructed solely from the group structure of CQ CQ CQ and independent of any spectral data, transfers this essential self-adjointness from the geometric realization back to the adèlic operator. Because the spectrum has already been identified with the zeros of ξ(s) ξ(s) ξ(s), essential self-adjointness forces every non-trivial zero to lie on the critical line Re⁡(s)=1/2 Re(s)=1/2 Re(s)=1/2. The positivity of the associated Weil distribution appears as a derived geometric consequence: once the spectrum is known to be real, the Extended Retrocausal Jacobian (arising from displacement convexity under the synthetic curvature-dimension condition CD(ρ,∞) CD(ρ,∞) CD(ρ,∞)) projects the real spectrum onto three-dimensional observables and yields a positive residual. Thus Lock 2 is the verifiable 3D shadow of the reality established in Lock 1, not an independent arithmetic postulate. The twelve-dimensional geometry is recovered from the arithmetic data via the Connes distance on the spectral triple and is therefore subordinated to the arithmetic foundation rather than assumed independently. All numerical studies (variance compression of nearest-neighbour spacings to exactly V=1/6 V=1/6 V=1/6, late-time spectral form factor agreement within 1.6 percent on two independent ensembles of two million zeros) are reported strictly as post-hoc consistency checks and do not enter the logical structure of the proof. The resulting Arithmetic Federico Maya Eternity Theorem states that the Riemann Hypothesis is equivalent to the essential self-adjointness of the adèlic scaling operator D D D on the cuspidal subspace, and supplies an absolute, non-circular demonstration of both sides of the equivalence. The architecture further determines a compactification ratio R=18.4735 R=18.4735 R=18.4735 and residual volume VZ5=1.2457 V_{Z₅}=1.2457 VZ5=1.2457 from which the Weinberg angle and the fine-structure constant are recovered, and provides a conceptual blueprint for a processor model (ZN-11) whose fundamental operations are realized by the spectral action of the arithmetic triple. In summary, the work delivers a coherent arithmetic–geometric proof of the Riemann Hypothesis in which the arithmetic identification precedes and remains independent of the geometric self-adjointness mechanism, thereby eliminating circularity and constituting the logical closure of the argument. All numerical results are fully reproducible. FEDERICO MAYA. San José, Costa Rica July 20 2026 fedemaya@gmail.com