{
  "abstract": "The purpose of this article is twofold. First, we study the geodesic completeness of the string T-duality black hole with the Raychaudhuri equation, for radial massive particles of arbitrary specific energy $\\varepsilon$. Exact proper-time quadratures reveal three classes of observers: supercritical observers reach the regular centre in finite proper time through a caustic and pass through it, critical observers ($\\varepsilon=1$) approach it only asymptotically with finite expansion, and subcritical observers are reflected at a fold caustic. Because the lapse is analytic and even in $r$, geodesics continue regularly through the centre, and all three classes are complete on the stipulated maximal extension. A diverging expansion therefore signals a caustic of the congruence rather than an endpoint of the geodesics, in contrast with Schwarzschild spacetime. Second, radial Maxwell rays are likewise complete but form a single class, since a massless ray carries no energy scale. We propose to model the black-hole core itself as a superconductor, with London response $μ^2=4πκρ$ attributed to the existing source. A symmetry-breaking potential with a vacuum-energy offset reproduces the de Sitter core and its photon mass exactly at the centre and approximately in the inner core; since no static scalar theory reproduces the anisotropic source further out, the full radial response remains phenomenological. The resulting Hamiltonian rays follow timelike geodesics of $μ^2g_{μν}$ up to reparametrisation and reproduce the three classes, separated by the central mass $μ_0$, while the density gradient of the core adds a defocusing contribution near the centre. We also distinguish Hamiltonian completeness from completeness of the conformal metric.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05630",
  "author_total": 1,
  "authors": [
    {
      "name": "Kimet Jusufi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1rq9mpwn336ap.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05630",
  "fulltext_url": null,
  "id": "1rq9mpwn336ap",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05630",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05630",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1rq9mpwn336ap.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:56Z",
      "native_id": "2611.05630",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05630"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Geodesic completeness and photon propagation in a superconducting T-duality black hole",
  "title_text": "Geodesic completeness and photon propagation in a superconducting T-duality black hole",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:19Z",
  "url": "https://research.draconitic.com/paper/1rq9mpwn336ap",
  "venue": "arXiv",
  "versions": []
}