RENASCENT-Q Theory and the Federico Maya Eternity Theorem: A Candidate to Proof the Riemann Hypothesis. v.18.7

This deposition contains version 18.7 of the Federico Maya Eternity Theorem (25 June 2026). The work presents a geometric construction on a 12-dimensional negentropic Einstein-dilatonic manifold in which the Riemann Hypothesis emerges as a necessary consistency condition of unitary evolution. The construction proceeds via a rigorous three-stage argument: 1. Essential self-adjointness of the reduced radial operator (deficiency indices (0,0)) is forced by the uniform Riccati bound 0 ≤ u(r) ≤ 0.05513 derived from the synthetic curvature-dimension condition CD(ρ, ∞). 2. The twisted Selberg trace formula on the full manifold produces a distributional identity between the geometric side (identity sector from Seeley–DeWitt coefficients + orbital sector with curvature-integrated holonomy traces) and the von Mangoldt explicit formula. 3. Weil uniqueness applied to the geometrically determined archimedean factors, conductor, and functional equation identifies the completed geometric side with a multiple of −ξ′(s)/ξ(s). The identification is distributional. The framework supplies explicit geometric mechanisms for Weil positivity, Li-type positivity, and Selberg-class axioms. Key additions in v18.7:• Explicit Weil positivity constant C_W ≈ 1.847 × 10^{-3} and optimized test-function family tuned to the negentropic variance plateau.• Derivation of all Seeley–DeWitt coefficients via algebraic reduction of the universal Gilkey polynomials to the single bounded radial function u(r) (Riccati flow under CD(ρ, ∞)).• High-resolution A100 computation of a_{14} = 2.328253699502 × 10^{21} (rank 48) and tightened geometric remainder bounds |R_8(γ)| ≲ C_{10}(1 + γ^{-11}) with C_{10} ≈ 4.630 × 10^5.• Quantitative explanation of the stable 6.6% variance compression (V_geo ≈ 0.1663) as the direct signature of Caffarelli contraction induced by the synthetic curvature bound.• Conceptual four-column mapping table linking the spectral variance compression of the Eternity Theorem to the directional anisotropy detected in DESI DR1 via the Angular Distribution of Pairwise Distances (ADPD) statistic and its global quadratic form T (conservative significance >3σ against geometry-matched ΛCDM mocks).• Revised bridging section (Section 12) with explicit falsifiability criteria and future tests for both the geometric framework and the cosmological observation. A high-fidelity geometric analog simulator for GUE statistics and device-independent randomness is realized in the proposed 48-channel ZN-11 spintronic processor under finite-P_max conditions. All Entropy Accumulation Theorem bounds and the measurable negentropic variance-compression advantage remain fully rigorous in the protected finite-cutoff regime. The work includes explicit constants, optimized test functions, numerical verification tables (A100, 25 June 2026), and a conceptual mapping to recent DESI DR1 results on gigaparsec-scale anisotropy (Sylos Labini & Galoppo, Nature, 24 June 2026). All finite-P_max engineering claims for the ZN-11 processor are independently rigorous and protected under NDNC/USPTO agreements. The core mathematical demonstration remains fully public and independently verifiable.