Topological Constraints and the 0.9994 Recovery Constant: A Unified Forensic Analysis of Galactic, Particle, and Cosmological Anomalies

This work presents a comprehensive extension to the Coherent Field Model (CFM), introducing a universal recovery constant R = 0.9994 as the fundamental topological constraint of the vacuum lattice. The 0.06% non-recovered energy fraction (1-R = 0.0006) defines a structural stiffness functional (Xi), which: Derives the Fine-Structure Constant alpha from first principles, yielding alpha ≈ 1/137.0359, Explains the muon g-2 anomaly with a predicted a_mu ≈ 0.0011659206, Resolves the observed matter-radiation dipole ratio Upsilon ≈ 3.74, Predicts fundamental cosmological scales, including cosmic voids with wavelength ~8.5 Mpc and super-voids (~71 Mpc), Reinterprets the Baryon Acoustic Oscillation standard ruler (~153 Mpc) as the 18th harmonic of the fundamental R-lattice scale. Additionally, the model identifies v2 ≈ 0.12 as the azimuthal flow harmonic of the vacuum lattice, representing the saturation limit of shear viscosity in 3D coherent structures. By replacing dark matter and dark energy with lattice viscosity and topological drag, the CFM provides a falsifiable framework for explaining multi-scale anomalies across subatomic, galactic, and cosmological domains. ORCID: 0009-0000-1296-0015DOI (Main CFM Model): 10.5281/zenodo.15455472