Testing Covarying Coupling Constants (CCC) against the full SPARC rotation-curve sample: a like-for-like comparison with MOND and NFW
- 1Department of Physics, University of Ottawa , Ottawa, ON K1N 6N5 ,
Abstract
The Covarying Coupling Constants (CCC) framework, developed to account for high-redshift JWST (James Webb Space Telescope) observations, contains a mechanism – a covarying-constant virtual mass field keyed to local density – that modifies galactic dynamics without particle dark matter. We test it against the full Spitzer Photometry and Accurate Rotation Curves sample of 175 disc galaxies, extending an earlier study of a few objects. Working in an inverse formulation, in which each model predicts the baryonic rotation curve from the observed one, we compare CCC against Modified Newtonian Dynamics (MOND) and one- and two-parameter Navarro–Frenk–White (NFW) haloes on identical footing, using the reduced χ 2ν. We show that the published sharp density turn-off is unphysical and replace it with a smooth transition – the density-space analogue of the MOND interpolating function, with no new parameter. One-parameter smooth-CCC then performs comparably to galaxy-by-galaxy fitted MOND (lower χ 2ν in 56 per cent of galaxies, mean χ 2ν of 2.58 versus 2.65; the difference is not significant), while two-parameter NFW shows a substantially broader fit-quality distribution and a larger tail of poor or boundary-limited fits (mean χ 2ν ≈ 7). The CCC turn-off density is not universal (scatter 0.82 dex) and correlates with galaxy size, as expected for a spherical reconstruction of flattened discs. Recast as an acceleration, however, at = Vflat2/Rt has scatter 0.33 dex (91-galaxy resolved subset), matching the MOND scale a0 (0.34 dex), of comparable magnitude (∼2× 10−10 m s−2), with its size correlation removed. Though not designed for galactic dynamics, CCC describes rotation curves as well as galaxy-by-galaxy fitted MOND.
Versions
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BibTeX
@article{gupta2026testing,
title = {{Testing Covarying Coupling Constants (CCC) against the full SPARC rotation-curve sample: a like-for-like comparison with MOND and NFW}},
author = {Rajendra P Gupta and Nikolaos Samaras},
journal = {Monthly Notices of the Royal Astronomical Society},
year = {2026},
month = oct,
doi = {10.1093/mnras/stag1777},
url = {https://academic.oup.com/mnras/article/doi/10.1093/mnras/stag1777/8910539},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Testing Covarying Coupling Constants (CCC) against the full SPARC rotation-curve sample: a like-for-like comparison with MOND and NFW
AU - Rajendra P Gupta
AU - Nikolaos Samaras
PY - 2026
DA - 2026/10/12
JO - Monthly Notices of the Royal Astronomical Society
DO - 10.1093/mnras/stag1777
UR - https://academic.oup.com/mnras/article/doi/10.1093/mnras/stag1777/8910539
AB - The Covarying Coupling Constants (CCC) framework, developed to account for high-redshift JWST (James Webb Space Telescope) observations, contains a mechanism – a covarying-constant virtual mass field keyed to local density – that modifies galactic dynamics without particle dark matter. We test it against the full Spitzer Photometry and Accurate Rotation Curves sample of 175 disc galaxies, extending an earlier study of a few objects. Working in an inverse formulation, in which each model predicts the baryonic rotation curve from the observed one, we compare CCC against Modified Newtonian Dynamics (MOND) and one- and two-parameter Navarro–Frenk–White (NFW) haloes on identical footing, using the reduced χ ^2_ν. We show that the published sharp density turn-off is unphysical and replace it with a smooth transition – the density-space analogue of the MOND interpolating function, with no new parameter. One-parameter smooth-CCC then performs comparably to galaxy-by-galaxy fitted MOND (lower χ ^2_ν in 56 per cent of galaxies, mean χ ^2_ν of 2.58 versus 2.65; the difference is not significant), while two-parameter NFW shows a substantially broader fit-quality distribution and a larger tail of poor or boundary-limited fits (mean χ ^2_ν ≈ 7). The CCC turn-off density is not universal (scatter 0.82 dex) and correlates with galaxy size, as expected for a spherical reconstruction of flattened discs. Recast as an acceleration, however, a_t = V_flat^2/R_t has scatter 0.33 dex (91-galaxy resolved subset), matching the MOND scale a_0 (0.34 dex), of comparable magnitude (∼2× 10^−10 m s^−2), with its size correlation removed. Though not designed for galactic dynamics, CCC describes rotation curves as well as galaxy-by-galaxy fitted MOND.
SN - 0035-8711
SN - 1365-2966
ER -