The Topological Distortion Coefficient (Part II): Metric Topology and Topological Retardation as a Replacement for Dark Matter: A 98% Predictive Fit for NGC 2403 and an Unfiltered 90.83% Universal Global Audit
Tomer Haimovich · Zenodo (CERN European Organization for Nuclear Research) · 2026
The flat rotation curves of spiral galaxies remain one of the most prominent mysteries in astrophysics, traditionally attributed to hypothetical dark matter halos. In this paper, we expand our topological framework to a rigorous global ensemble analysis using the entire SPARC (Spitzer Photometry and Accurate Rotation Curves) database. By applying a topological metric retardation function ($v$) parameterized strictly by the linear Golden Ratio ($\varphi \approx 1.618$) and an immutable universal stellar mass-to-light ratio ($Y_* = 0.412$), we subjected the model to a consolidated global audit across 100% of the viable SPARC population (3,391 empirical data points). Operating entirely without data pruning, inclination filtering, or localized curve-fitting, the universal model delivers an unprecedented, parameter-free consolidated goodness-of-fit of $R^2 = 0.9083$ (90.83%). This macro-scale consistency demonstrates that galactic rotation anomalies are an emergent phenomenon of spacetime's macroscopic metric constraints and topological retardation, negating the requirement for dark matter particles or arbitrary stochastic adjustments.