{
  "abstract": "FINDING: Search returned only pedagogical crystallography content on screw axes; no substantive SL(2,Z) monodromy / torus-bundle / modular-group material was retrieved. | MATH: Screw axis operation = rotation by 2π/n composed with translation by (m/n)·c along the axis; Seitz symbol {R|t}, R ∈ SO(3) point group, t = (m/n)c. Crystallographic restriction: n ∈ {1,2,3,4,6} (crystallographic restriction theorem). 11 enantiomorphic screw pairs among the 230 space groups (65 Sohncke groups). | CONNECTION: Screw axes are the affine extension of the point group — the semidirect product SO(3) ⋉ T. This is structurally the same object type as the torus-bundle monodromy: a base (rotation) with a fiber translation twisted by an integer winding m/n. The modular group SL(2,Z) acts on the torus T² = R²/Z² with monodromy matrices M ∈ SL(2,Z); the screw axis is the 1D crystallographic analogue where the \"monodromy\" is the rational winding m/n ∈ Q. Both encode the same principle: discrete symmetry = integ\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9rgyysb55nywt.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23658841",
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  "id": "9rgyysb55nywt",
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  "landing_url": "https://zenodo.org/records/23658841",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
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  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9rgyysb55nywt.ris",
  "sources": [
    {
      "first_seen": "2026-11-09T12:21:31Z",
      "native_id": "23658841",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23658841"
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  "subjects": [],
  "title": "Search Retrieval Gap: Crystallographic Screw Axes vs. SL(2,Z) Monodromy — E8 Intelligence Research",
  "title_text": "Search Retrieval Gap: Crystallographic Screw Axes vs. SL(2,Z) Monodromy — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-09T12:21:31Z",
  "url": "https://research.draconitic.com/paper/9rgyysb55nywt",
  "venue": "Zenodo",
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