A Geometric Resolution of the Missing Mass Problem: Part III — Unified Framework and Implications

Title: A Geometric Resolution of the Missing Mass Problem: Part III — Unified Framework and Implications This paper concludes the three-part investigation into the Scale-Lens mechanism for galaxy rotation curves, presenting the unified theoretical framework and broader implications. Central Thesis:The "missing mass problem" is not a problem of missing matter—it is a problem of misinterpreted geometry. When observations are properly understood as projections from an extended scale geometry, the apparent mass discrepancy dissolves. Key Contents: Three Interpretations Compared: Dark Matter vs MOND vs Scale Geometry Connection to MOND: Scale-Lens reproduces MOND phenomenology as an effective description Cosmological Implications: Connection between a_HBR and cH₀ (Hubble constant) What Would Falsify Scale-Lens: Explicit falsification criteria Testable Predictions: No direct detection of dark matter particles r_g–R_disk correlation Environment independence of a_HBR Redshift evolution (JWST testable) Ultra-diffuse galaxy predictions Honest Assessment: Acknowledges challenges with galaxy clusters, gravitational lensing, CMB Identifies the Bullet Cluster as a key test case Notes that relativistic formulation is still in development This is Part III of the Galaxy Rotation Curve Series, presenting synthesis and implications.