{
  "abstract": "(English)\n\nWe derive the equilibrium rotation curve of disk galaxies from the Relational Wave Cosmology (COR), a field theory in which space-time geometry and gravitational phenomena emerge from the dynamics of a complex scalar field with intrinsic memory. Under the assumptions of static spherical symmetry, the field equation reduces to the Lane--Emden equation of index n=5, whose analytic solution is the Schuster--Emden profile.\n\nThrough the core hypothesis of relational densification (rho_r proportional to |Phi|^2), this amplitude profile produces a circular velocity that rises linearly in the inner region and asymptotically approaches a constant value — a flat rotation curve. We show that the resulting velocity function is virtually identical to the phenomenological CVR-K model, fitting 115 SPARC disk galaxies with a decisive AIC/BIC preference over the standard NFW halo. Furthermore, by imposing a virial boundary condition tied to the cosmic critical density, the COR predicts halo virial masses M_200 and an internal Tully--Fisher scaling. The COR thus provides a first-principles explanation of galactic dynamics without invoking particulate dark matter.\n\nBundle Contents (Reproducibility):\n\n- LaTeX manuscript (main.tex)\n\n- SPARC dataset files and MRT/TXT tables\n\n- Python analysis pipelines (benchmark_cor_native.py, calculate_virial_cor.py, plot_virial_scaling.py)\n\n- Diagnostic plots and README instructions",
  "abstract_shown": true,
  "affiliations": [
    "Independent University, Bangladesh"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Francisco Wellington Gomes Soares",
      "orcid": "0009-0008-0157-1311"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8pa15kny0ctyt.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23454554",
  "fulltext_url": null,
  "id": "8pa15kny0ctyt",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23454554",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8pa15kny0ctyt.ris",
  "sources": [
    {
      "first_seen": "2026-11-01T12:21:03Z",
      "native_id": "23454554",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23454554"
    }
  ],
  "subjects": [],
  "title": "Relational Wave Cosmology: An Exact Self-Interacting Vacuum Solution for the Rotation Curves and Virial Masses of Disk Galaxies",
  "title_text": "Relational Wave Cosmology: An Exact Self-Interacting Vacuum Solution for the Rotation Curves and Virial Masses of Disk Galaxies",
  "type": "preprint",
  "updated_at": "2026-11-01T12:21:03Z",
  "url": "https://research.draconitic.com/paper/8pa15kny0ctyt",
  "venue": "Zenodo",
  "versions": []
}