{
  "abstract": "The functional forms of galactic rotation curves provide a fundamental test for models of gravity and dark matter. In this work, we conduct a rigorous statistical comparison of five distinct models against the complete sample of 175 galaxies from the SPARC database. The models under consideration are: (1) a one-parameter empirical law, physically constrained by each galaxy's measured flat disc rotation velocity ($V_{\\text{flat}}$); (2) a classical two-parameter Freeman disk; (3) a three-parameter Navarro-Frenk-White (NFW) dark matter halo plus baryons model; (4) a one-parameter Modified Newtonian Dynamics (MOND) model; and (5) a two-parameter Bosma/Dark Matter Disk model. We employ a Bayesian framework with Markov Chain Monte Carlo (MCMC) for parameter estimation, and use the Akaike Information Criterion (AICc) to assess the goodness-of-fit and statistical parsimony of the best-fit models. Our results reveal a decisive preference for the constrained one-parameter empirical model. It is selected as the best descriptor for a clear majority of the sample (60.6\\%) and, critically, also achieves the best median goodness-of-fit, with a reduced chi-squared of $χ^2_ν = 0.41$. In contrast, the standard NFW framework is preferred in only 12.6\\% of cases, while the MOND and Freeman disk models are selected as optimal for just 10.3\\% and 9.1\\%, respectively. The Bosma model, despite linking dynamics to the gas distribution, is preferred in only 7.4\\% of cases. The pronounced statistical and descriptive success of this simple, physically-anchored law over more complex, established theories suggests that its functional form represents a fundamental and highly efficient organizing principle in the dynamics of disk galaxies.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Astrophys Space Sci 370, 139 (2025)",
  "arxiv": "2610.27876",
  "author_total": 1,
  "authors": [
    {
      "name": "Mohammed Guhdar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4rscg74jamb96.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.27876",
  "fulltext_url": null,
  "id": "4rscg74jamb96",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.27876",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "astro-ph.GA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.27876",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4rscg74jamb96.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.27876",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.27876"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.GA",
      "subfield": "galaxies"
    }
  ],
  "title": "Single-Parameter Exponential Model Outperforms Standard Dark Matter and Modified Newtonian Frameworks in Predicting Galactic Rotation Curves",
  "title_text": "Single-Parameter Exponential Model Outperforms Standard Dark Matter and Modified Newtonian Frameworks in Predicting Galactic Rotation Curves",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/4rscg74jamb96",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1007/s10509-025-04531-7",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}