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 (c₄₅₅) 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 (³ 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).