{
  "abstract": "We develop a geometric and variational framework for investigating asymmetric closed elastic loops and their associated gravitational fields. Modeling a loop as a smooth closed curve in Euclidean three-space, we introduce an elastic energy combining line tension and bending rigidity, and consider families of deformations that allow the geometric asymmetry of the loop to be varied. A curvature-weighted effective source, motivated by combining the model's elastic energy density with its axial stress, provides a phenomenological source for a quasi-static Newtonian potential, whose far-field structure can be analyzed through multipole expansions. The asymmetric profiles are treated as instantaneous configurations rather than assumed equilibria. We distinguish this scalar source model from a complete relativistic stress-energy description. We further model branes as embedded manifolds equipped with admissible ambient-diffeomorphism flows. A joint energy functional combining string, brane, and interaction energies defines a variational framework for selecting compatible brane configurations and motivates a coupled gradient-flow model for their dissipative evolution. Finally, we discuss a controlled extension to immersed loops with transverse self-intersections, identifying additional issues involving gravitational self-interaction and topology-changing reconnection. The resulting framework provides a mathematical setting for studying geometric asymmetry, effective gravitational fields, and coupled string-brane deformation, without presupposing a fundamental physical interpretation of the model. Supplementary simulation. A standalone HTML companion lets readers vary the loop parameters, recalculate the elastic energy and curvature-weighted source moments, and compare the direct quasi-static potential with its far-field approximation. The HTML file can be downloaded from the project repository and opened locally: loop-gravity simulation (HTML). Its output illustrates the stated phenomenological model and should not be read as independent validation of its physical assumptions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Ryan J. Buchanan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cnq93019apcje.bib",
  "cited_by": 0,
  "doi": "10.13140/rg.2.2.26448.67847",
  "fulltext_url": null,
  "id": "cnq93019apcje",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23580399",
  "language": null,
  "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",
      "3103|Relativity and Gravitational Theory"
    ]
  ],
  "openalex": "W7223244125",
  "pdf_url": "https://zenodo.org/api/records/23580399/files/Geometric_Asymmetry_Gravitational_Fields_Closed_Elastic_Loops_stress_corrected.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cnq93019apcje.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:20:46Z",
      "native_id": "23580399",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23580399"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "openalex:3103|Relativity and Gravitational Theory",
      "subfield": "general"
    }
  ],
  "title": "Geometric Asymmetry and Gravitational Fields of Closed Elastic Loops",
  "title_text": "Geometric Asymmetry and Gravitational Fields of Closed Elastic Loops",
  "type": "preprint",
  "updated_at": "2026-11-06T12:20:46Z",
  "url": "https://research.draconitic.com/paper/cnq93019apcje",
  "venue": "Zenodo",
  "versions": []
}