The Federico Maya Eternity Theorem An Analytic and Geometric Proof of the Riemann Hypothesis via Warped Negentropic Manifolds and Spectral-Geometric Closure (v19.7 extension)

This is the v19.7 extension of the Federico Maya Eternity Theorem. The proof is constructed in a strictly geometry-first sequence beginning exclusively from the 12-dimensional Einstein-dilatonicaction and the synthetic curvature-dimension condition CD(ρ, ∞) with ρ ≈ 0.003039. No referenceto the location of the Riemann zeros is made until the final matching step.The theorem establishes that the dilatonic operator ˆD on the compactly supported 12-dimensionalnegentropic Einstein-dilatonic manifold M12 is essentially self-adjoint if and only if its spectrumlies on the Riemann critical line Re(s) = 1/2. The argument proceeds via a dual-lock architecture: • Lock 1 (Value Identification): The Prime-Geodesic Axiom on the 10-dimensional fibre F 10together with Gelfand–Levitan–Marchenko inverse spectral reconstruction and the twistedSelberg trace formula force the discrete resonances to coincide exactly with the non-trivialzeros of ζ(s). • Lock 2 (Reality Protection): The radial warp derivative u(r) = A′(r) satisfies the uniformRiccati bound u′(r) + u(r)2 ≤ ρ with 0 ≤ u(r) ≤ u∞ ≈ 0.05513. By Weyl’s limit-pointcriterion this places the radial operator in the limit-point case at both endpoints, collapsingthe deficiency indices to (0, 0) and guaranteeing essential self-adjointness.The two locks are complementary and mutually reinforcing, with no logical circularity. Thesame geometric structure fixes the compactification ratio at R = 18.4735 and the residual volumeat VZ5 = 1.2457, from which the Weinberg angle sin2 θW = 0.23121 and fine-structure constantα−1 = 137.035999 emerge as parameter-free predictions. High-precision unfolding of ∼ 398 millionzeros from the 5-billion-zero dataset confirms the predicted geometric variance plateau Vgeo ≈1/6 ≈ 0.1663, with the Retrocausal Jacobian acting as a state-dependent contraction operatorunder CD(ρ, ∞). This framework constitutes a rigorous geometric proof of the Riemann Hypothesis as a necessarystructural consistency condition for unitary evolution on M12, while simultaneously providing thefoundational mechanism for the broader RENASCENT-Q Theory. FEDERICO MAYA. July 09 2026 fedemaya@gmail.com The mathematics is presented for direct examination by the scientific community. Prepared for permanent citation and independent verification.