{
  "abstract": "This paper develops a mathematical account of persistence and fragmentation for primitive integer windings. It proves a least-cost fission theorem for strictly convex homogeneous winding energies under stated state-admission rules. Positive inverse-length corrections produce a different global minimum: a worked primitive-only model requires three fragments, with an exact finite-parent phase diagram and calculated large-winding crossovers.\n\nThe analysis connects these arithmetic results to an interacting winding-field energy and a separate mechanism for winding-changing transitions. The original tokamak, asteroid-belt, planetary-ring, cardiac-conduction and accelerator examples are retained with explicit sampling and dynamical controls. The paper provides exact results for the defined winding models and a testable programme for assessing their relevance to physical resonances, without identifying the different empirical mechanisms as one established universal law.",
  "abstract_shown": true,
  "affiliations": [
    "Evrmind Labs"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Ibrahim Vandenberg",
      "orcid": "0009-0001-0144-5533"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c0c2e3vw2g26w.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23603890",
  "fulltext_url": null,
  "id": "c0c2e3vw2g26w",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23603890",
  "language": "eng",
  "licence": "CC-BY-NC-4.0",
  "licence_label": "CC BY-NC 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": "https://zenodo.org/api/records/23603890/files/Primitive%20Winding,%20Fission%20Thresholds%20and%20Resonance%20on%20Toroidal%20Systems.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c0c2e3vw2g26w.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:20:56Z",
      "native_id": "23603890",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23603890"
    }
  ],
  "subjects": [],
  "title": "Primitive Winding, Fission Thresholds and Resonance on Toroidal Systems",
  "title_text": "Primitive Winding, Fission Thresholds and Resonance on Toroidal Systems",
  "type": "preprint",
  "updated_at": "2026-11-06T12:20:56Z",
  "url": "https://research.draconitic.com/paper/c0c2e3vw2g26w",
  "venue": "Zenodo",
  "versions": []
}