What question did this study set out to answer?

This research aims to fit GCFT coupling parameters to the SPARC Radial Acceleration Relation using extensive galaxy data.

June 19, 2026Open Access

CDN-264: The SPARC Fit — GCFT Computational Discovery Note

Key Points

This research aims to fit GCFT coupling parameters to the SPARC Radial Acceleration Relation using extensive galaxy data.
Analyzed 2630 data points across 153 galaxies using a fitting technique.
Assessed the functional form against the dSph-calibrated CDN-258 values.
Executed joint optimization to evaluate the relationship between galaxy and dSph parameter spaces.
Best-fit coupling parameters were κ_cl=0.210, a_t/a₀=2.20, γ=0.76, significantly differing from prior values.
Cross-check showed 0 out of 22 dwarf spheroidals fit within 20% of the parameter sets.
No connecting valley was discovered between galaxy-RAR and dSph parameter space.

Abstract

Fits GCFT coupling parameters (κcl, aₜ, γ) directly to the SPARC Radial Acceleration Relation (14 bins, 2630 data points, 153 galaxies). Best-fit: κcl=0. 210, aₜ/a₀=2. 20, γ=0. 76 — radically different from the dSph-calibrated CDN-258 values. Functional form marginally survives kill condition (RMS 0. 046 ≤ 0. 05 dex) but remains 2. 4× worse than MOND simple. Cross-check against 22 dwarf spheroidals: 0/22 within 20% at any parameter set, with predicted velocity dispersions 15–50× too low. Joint optimization finds no connecting valley between galaxy-RAR and dSph parameter space. Two-sector coupling definitively confirmed. CDN-265 pre-registered for alternative functional forms.

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