CDN-265: The Form Test — GCFT Computational Discovery Note

Tests four alternative interpolation function forms against the SPARC Radial Acceleration Relation (14 bins, 2630 points) and 22 dwarf spheroidals. Form A (McGaugh-like, α=1.023) wins the RAR at 0.016 dex — indistinguishable from the McGaugh et al. (2016) parameterization, establishing that GCFT's galaxy-scale phenomenology converges to MOND. All four forms fail dSphs at 0/22 within 20%. Free-form analysis reveals a 200× discrepancy at the same acceleration: Fornax at x=0.046 requires ν≈1051 while the RAR demands ν≈5. This structural incompatibility may trace to the Wolf mass estimator assuming Newtonian gravity rather than genuine two-sector physics. CDN-266 pre-registered for modified Jeans equation test.

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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.20725207
Primary Topic
Astronomy and Astrophysical Research
Type
article
Field-Weighted Citation Impact
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article

CDN-265: The Form Test — GCFT Computational Discovery Note

Nicky Joseph Hubertus Catharina Hacquier
Zenodo (CERN European Organization for Nuclear Research)
Astronomy and Astrophysical Research
article

CDN-265: The Form Test — GCFT Computational Discovery Note

Nicky Joseph Hubertus Catharina Hacquier
article en

Abstract

Tests four alternative interpolation function forms against the SPARC Radial Acceleration Relation (14 bins, 2630 points) and 22 dwarf spheroidals. Form A (McGaugh-like, α=1.023) wins the RAR at 0.016 dex — indistinguishable from the McGaugh et al. (2016) parameterization, establishing that GCFT's galaxy-scale phenomenology converges to MOND. All four forms fail dSphs at 0/22 within 20%. Free-form analysis reveals a 200× discrepancy at the same acceleration: Fornax at x=0.046 requires ν≈1051 while the RAR demands ν≈5. This structural incompatibility may trace to the Wolf mass estimator assuming Newtonian gravity rather than genuine two-sector physics. CDN-266 pre-registered for modified Jeans equation test.

Zenodo (CERN European Organization for Nuclear Research)
Dynamique du noyau (FR)
Openalex Percentile: Top 6%
Astronomy and Astrophysical Research
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