{
  "annotation_id": "e3a655a6-d5ff-46a1-85ea-6e273d466054",
  "date_created": "2026-03-02T18:00:35.173000Z",
  "date_modified": "2026-03-02T18:00:35.173000Z",
  "file_hash": "e236afbc3ac686b4e12ef56027b69a2b5148c3872cb142d2749aa6522d3ca55c",
  "private": false,
  "record": {
    "abstract": "Fermat\u0027s principle and variational analysis is used to analyze the\ntrajectories of light propagating in a radially inhomogeneous medium with a\nsingularity in the center. It is found that the light trajectories are similar\nto those around a black hole, in the sense that there exists a critical radius\nwithin which the light cannot escape, but spirals into the singularity.",
    "arxiv_id": "physics/0102019",
    "authors": [
      "M. Marklund",
      "D. Anderson",
      "F. Cattani",
      "M. Lisak",
      "L. Lundgren"
    ],
    "categories": [
      "physics.ed-ph",
      "gr-qc",
      "physics.gen-ph"
    ],
    "doi": "10.1119/1.1477429",
    "journal_ref": "Am.J.Phys. 70 (2002) 680",
    "title": "Fermat\u0027s principle and variational analysis of an optical model for   light propagation exhibiting a critical radius",
    "url": "https://arxiv.org/abs/physics/0102019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5f99ea10-ec76-46f6-9e54-f25a7eb1817f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}