{
  "abstract": "In the picture of a toroidal universe (preprint DOI: 10.5281/zenodo.23039759), the dominant geodesics have an irrational slope and do not close; rational loops form a subset of measure zero. It is shown here: (i) a tabletop experiment — the lines of force of a magnet — reproduces the same hierarchy: the near lines are almost circles, the far ones are elongated spirals; (ii) a geodesic on a torus with a rational slope of m/n closes after n turns, with an irrational one it never closes; (iii) zero result of searches for matching circles (Cornish–Spergel, WMAP, Planck) in this picture, it is not the absence of a topology, but its direct prediction; (iv) a prediction about weak pairs with a small offset along the selected slopes is formulated and a falsifier is assigned.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Oleg Borodin",
      "orcid": "0009-0006-1828-9510"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3cvg0w8a9zngb.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23649626",
  "fulltext_url": null,
  "id": "3cvg0w8a9zngb",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23649626",
  "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": [],
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  "pdf_url": "https://zenodo.org/api/records/23649626/files/preprint_3_Mirny.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3cvg0w8a9zngb.ris",
  "sources": [
    {
      "first_seen": "2026-11-08T12:20:59Z",
      "native_id": "23649626",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23649626"
    }
  ],
  "subjects": [],
  "title": "Mirny's Cosmodynamics: Notes. Note No. 3 Rational loops — subsets: why circle searchers don't find them by construction",
  "title_text": "Mirny's Cosmodynamics: Notes. Note No. 3 Rational loops — subsets: why circle searchers don't find them by construction",
  "type": "preprint",
  "updated_at": "2026-11-08T12:20:59Z",
  "url": "https://research.draconitic.com/paper/3cvg0w8a9zngb",
  "venue": "Zenodo",
  "versions": []
}