Thermodynamic Decay of the Cosserat Field: Resolving the High-Redshift Rotation Curve Anomaly via Continuum Field Entropy

**Preprint | Continuum Field Entropy Empirical Validation Series** Recent integral field spectroscopic surveys of high-redshift (z 1-2) galaxies have revealed massive intrinsic turbulence and outer rotation curves that exhibit Keplerian decline. These observations challenge standard CDM models, which predict flat, dark-matter-dominated rotation curves across all epochs. We propose that these kinematic anomalies are not the result of missing or un-aggregated dark matter halos, but are the thermodynamic signature of a decaying Cosserat vacuum. Using the Continuum Field Entropy (CFE) framework—where the macroscopic passage of time is governed by the entropic relaxation of the background vacuum yield stress (T₁₆) —we extract the historical vacuum state of 472 ancient galaxies from the KROSS survey (z 1) and compare them to 175 modern galaxies from the SPARC database (z 0). We find a universal, macroscopic shift in the probability density of T₁₆, demonstrating that the early universe possessed a significantly stiffer vacuum fabric. We construct a 3D thermodynamic phase-space manifold to prove this decay is independent of local stellar mass and radius. Finally, by applying the extracted z 1 vacuum impedance to an exponential disk model with an asymmetric drift penalty, we accurately reproduce the falling rotation curves observed in the Genzel anomaly, confirming that dark matter is the kinematic signature of background yield-stress, which decays over cosmological 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).