Addendum II to Model H: Multi-Scale Verification and Geometric Unification of Gravity

This addendum extends the "Model H" framework, presenting a unified solution for gravitational dynamics from the quantum scale to galactic structures without Dark Matter. Key Results: Tully-Fisher Derivation: We analytically derive the Baryonic Tully-Fisher Relation (M V⁴) from the fluid dynamics of space-time, treating gravity as a tension in a superfluid medium. Precision Tests: The model is verified against independent galaxies (SPARC database) with predictive errors < 1. 6%. Solar System Unification: We demonstrate that the anomalous precession of Mercury is explained by a specific geometric factor (KG = 1. 20) inherent to the orbital eccentricity, while spherical orbits follow a laminar regime (KG 1. 15). Fine Structure Constant: A thermodynamic link is proposed between the vacuum tension and the fine-structure constant (1/137). Methodology: The model introduces a "Geometric Coefficient" (KG) modulating vacuum tension based on observed morphology, replacing Dark Matter halos with a shape-dependent gravitational response. Includes the complete unified derivation of the KG factor and the Master Equation. Model H: A Superfluid Mechanics Framework for Unified Cosmology https: //zenodo. org/records/18436687 Addendum III to Model H: Connections with Fundamental Constants, Nuclear Forces, and Baryonic Mass https: //zenodo. org/records/18350730 Addendum IV to Model H: Universal Derivations from a Single Parameter - From Fundamental Constants to Cosmology https: //zenodo. org/records/18388914