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 ($\Sigma$ and $7\pi$), 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 ($f_{collapse} = 0.0604$), 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 ($4\pi$ 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.