SPARC Full Sample Analysis: 175 Galaxies with Derived a₀ (Confluence v1.3)
Abstract
Application of the gravitational enhancement function derived in The Confluence of Creating (M = C) to all 175 galaxies in the SPARC database (Lelli, McGaugh, Schombert 2016) with zero free parameters. The derived acceleration scale a_0 = cH_0/(2pi) = 1.082 x 10^-10 m/s^2 outperforms MOND's fitted a_0 = 1.2 x 10^-10 m/s^2 across the full sample using identical methodology. Core results: median chi-squared reduced = 8.95 (framework, 0 parameters) vs 10.51 (MOND, 1 parameter). 90 of 175 galaxies achieve chi-squared reduced below 10 with the derived constant versus 83 with the fitted constant. Quality predictors identified in order of importance: bulge presence (factor of four), enhancement regime depth, galaxy size. Gas fraction has negligible effect. Poor fits are systematic, indicating baryonic mass model errors amplified by the zero-parameter enhancement function. Includes NGC 3198 rotation curve analysis (RMS 9-10 km/s across 30 kpc) and baryonic Tully-Fisher relation (predicted slope exactly 4, observed 3.85 +/- 0.09, normalization 69.6 M_sun/(km/s)^4). All from the same derived acceleration scale with zero fitted parameters.
Fields of Study & Subjects
Galaxies: Formation
Evolution
Phenomena
Astronomy and Astrophysical Research
Stellar
planetary
and galactic studies
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 3 April 2026
- Language
- EN
- Document type
- Preprint