{
  "abstract": "The strength of a dislocation is its Burgers vector: the circulation of the distortion field along a loop encircling the defect line. This article pursues a single question: what happens to this circulation when the carrier geometry is non-orientable? The answer reduces to one mechanism — the half-integer frequency lattice has no zero mode — and this mechanism yields the same selection rule on three successive rungs: at a point resolution the circulation is halved; along a curve with non-orientable normal bundle the longitudinal, Mobius-direction Burgers component cancels over two turns, confining the Burgers vector to span{t, e1}; on the surface rung the divisor term collapses under a triple selection to a single term (pi·A). The arenas are fixed by the Whitney formula (w1(N) = w1(M)|_Sigma + w1(Sigma)), among them the Euclidean arena: a non-orientable surface in R^4 with vanishing normal Euler number. The rules have a direct superconducting reading: a vortex is a phase dislocation, and the same gluing condition yields the half-quantum fluxoid physics measured on Mobius-type geometries. Every claim is verified by a deterministic, counter-checked script (16/16). The article extracts and assembles into a single whole the Burgers-selection story from the framework's published records.",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "László Márk",
      "orcid": "0009-0006-5033-633X"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dxnfbjd1ky71r.bib",
  "cited_by": 7,
  "doi": "10.5281/zenodo.21849262",
  "fulltext_url": null,
  "id": "dxnfbjd1ky71r",
  "issns": [],
  "landing_url": "https://doi.org/10.5281/zenodo.21849262",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7201953548",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-08",
  "publisher": "European Organization for Nuclear Research",
  "ris": "https://research.draconitic.com/paper/dxnfbjd1ky71r.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T13:26:43Z",
      "native_id": "W7201953548",
      "source": "openalex",
      "url": "https://doi.org/10.5281/zenodo.21849262"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3107|Topological Materials and Phenomena",
      "subfield": "amo"
    }
  ],
  "title": "Which Loops Can Carry a Burgers Vector? Selection Rules on Non-Orientable Geometry",
  "title_text": "Which Loops Can Carry a Burgers Vector? Selection Rules on Non-Orientable Geometry",
  "type": "preprint",
  "updated_at": "2026-11-03T13:20:27Z",
  "url": "https://research.draconitic.com/paper/dxnfbjd1ky71r",
  "venue": "Zenodo (CERN European Organization for Nuclear Research)",
  "versions": []
}