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

This paper presents an empirical cross-analysis between predictions of the Coherent Field Model (CFM) and published high-energy physics datasets from CERN (ATLAS and ALICE), alongside cosmological observations. The analysis centers on a dimensionless recovery constant, R approximately equal to 0.9994, derived within the CFM as a topological stability requirement of a coherent, nonlocal vacuum lattice. By reinterpreting persistent 0.05 to 0.06 percent energy and momentum-scale offsets, typically classified as systematic uncertainties, as physical manifestations of lattice stiffness (the Stiffness Functional), this work demonstrates a scale-invariant signature spanning subatomic collisions, collective flow phenomena, and large-scale cosmic structure. Key results include: Identification of a non-scaling inelasticity floor in ALICE “effective energy” distributions consistent with an energy retention of approximately 0.06 percent. Alignment between ATLAS muon momentum-scale offsets and the predicted lattice friction inherent to the coherent field. Interpretation of small-system collective flow harmonics (v2 approximately 0.12) as emergent topological behavior of the underlying field rather than particle-level hydrodynamics. Extension of the same recovery constant to galactic rotation behavior traditionally attributed to dark matter effects. The convergence of these independent datasets suggests that the 0.9994 recovery constant represents an intrinsic geometric property of the space-lattice itself. Under this interpretation, experimental residuals commonly treated as detector limitations or background noise may instead reflect a physical, scale-invariant constraint on energy recovery during high-energy transitions. This work introduces no new experimental data. Instead, it demonstrates how existing, peer-reviewed measurements may be reinterpreted within a unified, falsifiable theoretical framework that bridges subatomic and cosmological scales without invoking additional particle species or dark energy components.