The Unified Field Specification: Integrated Closure and Terminal Eight-Anomaly Synthesis (Final Revision)

The Unified Field Specification: Integrated Closure and Terminal Eight-Anomaly Synthesis (Final Revision) This monograph (v4) establishes the terminal mathematical closure of the cosmological vacuum by replacing the continuous spacetime manifold with a discrete Bipartite Simplicial 1-Complex. This final revision provides a first-principles stability proof for 7-dimensional phase space initialization and resolves the Hamiltonian failure modes inherent to 6D and 8D architectures. Key Breakthroughs in this Revision: Resolution of the Shannon-Hartley Circularity: Defines the vacuum Signal-to-Noise ratio (S/N) purely through topological parameters (and 7), removing previous dependencies on bit-energy for the derivation of structural bandwidth (B). Deterministic Derivation of the Neutrino Mass Sum: Calculates a universal bit-work energy of 0. 262 eV, aligning with the cosmological upper bound for the sum of all neutrino masses established by the Planck Collaboration and BAO data. Closing the Hubble Tension: Resolves the cosmological expansion crisis by deriving a mandatory local lattice yield fraction (f₂₎₋₋₀₏ₒ₄ = 0. 0604), yielding a local Hubble constant of 71. 7 km/s/Mpc in alignment with modern TRGB observational data. Topological Hardware Bridge: Establishes the mechanical transition from 7D state-vectors to 3D interaction horizons (4 steradians) and maps discrete deficit angles to the Einstein-Hilbert Action via 2D Regge hinges. This monograph offers a falsifiable prediction of Topological Vacuum Dispersion (Lorentz Invariance Violation) observable as an energy-dependent arrival lag in high-redshift Gamma-Ray Bursts.