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

Fits GCFT coupling parameters (κ_cl, a_t, γ) directly to the SPARC Radial Acceleration Relation (14 bins, 2630 data points, 153 galaxies). Best-fit: κ_cl=0.210, a_t/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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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-17
DOI
https://doi.org/10.5281/zenodo.20725156
Primary Topic
Galaxies: Formation, Evolution, Phenomena
Type
article
Field-Weighted Citation Impact
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article

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

Nicky Joseph Hubertus Catharina Hacquier
Zenodo (CERN European Organization for Nuclear Research)
Galaxies: Formation, Evolution, Phenomena
article

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

Nicky Joseph Hubertus Catharina Hacquier
article en

Abstract

Fits GCFT coupling parameters (κ_cl, a_t, γ) directly to the SPARC Radial Acceleration Relation (14 bins, 2630 data points, 153 galaxies). Best-fit: κ_cl=0.210, a_t/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.

Zenodo (CERN European Organization for Nuclear Research)
Dynamique du noyau (FR)
Openalex Percentile: Top 7%
Galaxies: Formation, Evolution, Phenomena
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