{
  "annotation_id": "5c29464e-a688-4d4c-9bb9-70632c06576b",
  "date_created": "2026-03-02T18:02:48.232000Z",
  "date_modified": "2026-03-02T18:02:48.232000Z",
  "file_hash": "f19b9ebaa306720533bdcb94314c614165cbf1184927fc610a58132a76d02e77",
  "private": false,
  "record": {
    "abstract": "A new quantum algebraic description of relativistic electrons, built on a\nconformal dynamical symmetry (SO(4,2)), has recently been proposed to treat\nlocalization in space-time. It is shown here that localization of an electron\nmay be represented by components of a SO(4,2) vector which are quantum\ngeneralizations of the hexaspherical coordinates of classical projective\ngeometry. The shift of this vector under transformations to uniformly\naccelerated frames is described by SO(4,2) rotations. Hexaspherical observables\nalso allow one to represent the quantum law of free fall under a form\nexplicitly compatible with the same dynamical symmetry.",
    "arxiv_id": "quant-ph/9905093",
    "authors": [
      "Marc-Thierry Jaekel",
      "Serge Reynaud"
    ],
    "categories": [
      "quant-ph",
      "gr-qc"
    ],
    "doi": "10.1002/1521-3889(200009)9:8\u003c589::AID-ANDP589\u003e3.0.CO;2-#",
    "journal_ref": "Annalen Phys. 9 (2000) 589-604",
    "title": "Quantum Hexaspherical Observables for Electrons",
    "url": "https://arxiv.org/abs/quant-ph/9905093"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3bcdf186-2ff9-4c3a-ad70-2014cd883584",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}