Published April 3, 2026 | Version v1

SPARC Full Sample Analysis: 175 Galaxies with Derived a₀ (Confluence v1.3)

  • 1. FBDM Lab
  • 2. CASH

Contributors

Contact person:

  • 1. FBDM Lab
  • 2. CASH

Description

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.

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Additional details

Related works

Is supplement to
Preprint: 10.5281/zenodo.19337130 (DOI)

References

  • doi:10.3847/1538-3881/153/6/240 | Lelli, McGaugh, Schombert 2016 — SPARC database
  • doi:10.3847/1538-4357/ab2f73 | Lelli et al. 2019 — Baryonic Tully-Fisher
  • doi:10.1051/0004-6361/200811280 | de Blok et al. 2008 — THINGS survey