RENASCENT-Q Theory v.45 (Extension): The Origin of the Resonant Negentropic Asymptotic Coherent Entangled with Quantum Field Fundamental Force

RENASCENT-Q Theory v.45 is built on two settled mathematical results: the dual-lock arithmetic-geometric proof of the Riemann Hypothesis (Federico Maya Eternity Theorem) and the Federico Maya Eternal Information Formula. The former establishes that the discrete spectrum of an essentially self-adjoint scaling operator on the cuspidal subspace coincides with the non-trivial zeros of the completed Riemann xi-function. The latter asserts that the weighted spectral sum I(f ) = ∑n w(γn) f (γn) is invariant under the unitary groups generated by both the arithmetic and geometric realizations of the operator. The geometric spectral weight w is uniquely determined by the residual holonomy of characterTr ρ = 10 and the Bakry-Émery curvature-dimension condition CD(ρ, ∞). From this invariant the theory extracts a state-dependent geometric filter—the Holographic Boundary Jacobian—interpreted strictly as a spectral (not temporal) selection rule. The filter selects resonant contributions compatible with the dual-lock geometry and produces the observed compression of nearest-neighbour spacing variance to the plateau V = 1/6. The residual discrepancies between high-statistics Odlyzko measurements and the exact plateau V = 1/6 are the mathematically expected O((log γ)−1) and O(ρ) corrections that arise when a curved, warped twelve-dimensional geometry is probed at finite spectral height; they vanish in the joint limit of infinite height and complete radial saturation. The same geometric data determine compactification moduli from which low-energy Standard Model parameters, resonant structures in flavor physics, and a purely geometric Hubble offset emerge as predictions. We propose that the twelve-dimensional warped geometry underlying the dual-lock is not merely a spectral construct but the fundamental geometric background of the physical universe. Under this Information-as-Geometry Postulate the Jacobian acts as a universal topo-thermodynamic principle that preserves unitary evolution and information content across scales. All subsequent predictions—Standard Model parameters, flavor-physics resonances, the geometric Hubble offset, and biological coherence lock-in— are inevitable projections of the single pair of moduli (R = 18.4735, VZ5 = 1.2457) fixed by the Eternity Theorem.