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Validation of Model H predicts galaxy rotation curves using first principles in 175 galaxies, indicating a new approach to dark matter models.
This paper presents the complete validation of Model H on all 175 galaxies from the SPARC database (Spitzer Photometry and Accurate Rotation Curves). Model H is distinguished by using zero free parameters, deriving all values from first principles rather than empirical fitting. Key Highlights: First Principles Derivation: The acceleration scale is derived from cosmology (a_0 = cH_0/6), and the geometric factor (Kₘₐₓ) is derived from the universe-proton discrepancy. Observational Accuracy: The model achieves a mean error of 13.7% on 168 quality-1 galaxies. This falls within the SPARC observational uncertainty range of 10-20%. Universal Application: The dynamic response function K(Σ) naturally explains both Low Surface Brightness (LSB) and High Surface Brightness (HSB) galaxies without parameter adjustment. Physical Consistency: The derived critical surface density (Σcrit = 135 M_{}/pc^2) coincides with the observed Freeman limit. This document demonstrates that galaxy rotation curves can be predicted from physics rather than fitted, offering a fundamental alternative to empirical dark matter models. Model H: A Superfluid Mechanics Framework for Unified Cosmology https://zenodo.org/records/18436687 Addendum II to Model H: Multi-Scale Verification and Geometric Unification of Gravity https://zenodo.org/records/18422671 Addendum III to Model H: Connections with Fundamental Constants, Nuclear Forces, and Baryonic Mass https://zenodo.org/records/18350730
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Ivan Soprani (2026) studied this question.
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