Universal Validation of the GERT Local Thermodynamic Extension: Zero-Parameter Rotation Curve Predictions Across 191 Galaxies

Background: The Gibbs Energy Redistribution Theory (GERT) replaces dark matter and dark energy with thermodynamic functions of local density, derived from the Gibbs free energy criterion. Paper VI established a zero-parameter local extension validated on six SPARC galaxies, six clusters, and the Baryonic Tully-Fisher Relation, calibrated solely against CMB, BAO, and Type Ia data. Methods: We apply the identical GERT v0.4 equation — without modification — to the complete SPARC database: 175 late-type (LTG) and 16 early-type galaxies (ETG), spanning 107–1011 M⊙ across all morphological types. Results: GERT improves over Newtonian baryons in 165/175 LTGs (94.3%) and all 16 ETGs (100%). Across 3423 data points, RAR scatter falls from 0.308 to 0.212 dex (−31.4%) with zero free parameters. The 7% offset between aGERT = cH0/2π and Milgrom’s a0 is a quantitative target for the forthcoming pre-relativistic extension. Conclusions: A single thermodynamic equation, calibrated against cosmological probes alone, predicts galactic rotation curves across all morphologies, supporting a thermody namic bridge from cosmic to galactic scales.