Observational Confrontation of Continuum Field Entropy (CFE) vs. General Relativity in the S2-Sgr A* System

**Preprint | Continuum Field Entropy Empirical Validation Series** For over a century, General Relativity (GR) has remained the standard paradigm for modeling extreme gravitational environments via the geometric curvature of spacetime. We propose and test an alternative covariant framework: Continuum Field Entropy (CFE). CFE eliminates non-Euclidean geometry, modeling the vacuum instead as a tension-bearing, shear-thickening Cosserat continuum. We test CFE against 30 years of astrometric and spectroscopic data of the S2 star orbiting Sagittarius A*. We demonstrate that CFE successfully replicates the 12.1 arcminute macroscopic orbital precession, the 200 km/s relativistic redshift anomaly of the 2018 pericenter plunge, and the Shapiro optical time delay, natively deriving these phenomena through variable wave-speed (ceff) kinematics. Finally, we resolve the thermodynamic orbital decay. We demonstrate that classical force drag heuristics are indeterminate for solitons due to an unknown drag coefficient (CD). By applying native CFE third-order tensor dynamics (ω³ viscous jerk) to the spatial gradient of the rest energy, we analytically derive an effective impedance of CD ≈ 10⁻⁹, predicting a dynamically stable orbit (-0.01 seconds decay). This matches long-term observations while maintaining a strictly non-conservative thermodynamic arrow of time. **Project Integration:**This document is a standalone validation report. The underlying universal field equations, foundational axioms, and the complete multi-disciplinary validation framework can be found in the primary master manuscript (DOI: 10.5281/zenodo.20631794).