Empirical Reconciliation of the Standard Model with the Coherent Field Model: Evidence for a Universal 0.9994 Recovery Constant

This paper presents a forensic empirical cross-analysis between the Coherent Field Model (CFM) and published high-energy physics datasets from CERN (ATLAS and ALICE), alongside precision cosmological observations. The analysis centers on the dimensionless recovery constant, R \approx 0.9994, now formally derived as the parameter for the Soft Breaking of Continuous Time-Translation Symmetry. By reinterpreting persistent 0.05\% to 0.06\% energy and momentum-scale offsets—typically classified as systematic uncertainties—as physical manifestations of Lattice Stiffness, this work demonstrates a scale-invariant signature bridging subatomic transitions and the expansion of the universe. Key results include: Lepton Scaling Unity: The introduction of the Lepton Scaler (\chi) provides a unified, parameter-free explanation for the anomalous magnetic moments (g-2) of both the electron and muon, reconciling the transition from continuum-averaged regimes to lattice-drag regimes. Hubble Tension Resolution: We derive the Matter-Radiation Dipole Ratio (\Upsilon \approx 3.74) from the azimuthal flow harmonic (v_2 = 0.12), providing a scaling correction that aligns Planck and SH0ES measurements of H_0, resolving the discrepancy between 67.4 and 73.0 km/s/Mpc. ATLAS and ALICE Precision Gap: Evidence of a non-scaling inelasticity floor in ALICE distributions and momentum-scale offsets in ATLAS data are identified as the 0.06\% (1-R) energy retention floor inherent to the measurement substrate. Retraction of Global Propagation Lag: To maintain consistency with SN 1987A observational data, the 0.06\% lag is strictly redefined as an interaction-site phase constraint rather than an accumulated propagation delay for relativistic particles. The convergence of these independent datasets suggests that the 0.9994 recovery constant represents an intrinsic geometric property of the space-lattice itself. This work demonstrates how existing peer-reviewed measurements reflect a physical, scale-invariant constraint on energy recovery, providing a falsifiable framework that bridges subatomic and cosmological scales without invoking additional particle species or dark energy.