{
  "annotation_id": "b677670a-1deb-4342-b722-1ada8dbd0103",
  "date_created": "2026-03-02T18:00:31.753000Z",
  "date_modified": "2026-03-02T18:00:31.753000Z",
  "file_hash": "b1da27a09b3f284c5fba38189b80b9caabdd0f4e75d66857d12adfff286558e4",
  "private": false,
  "record": {
    "abstract": "A representation of the quadratic Dirac equation and the Maxwell equations in\nterms of the three-dimensional universal complex Clifford algebra is given. The\ninvestigation considers a subset of the full algebra, which is isomorphic to\nthe Baylis algebra. The approach is based on the two Casimir operators of the\nPoincare group, the mass operator and the spin operator, which is related to\nthe Pauli-Lubanski vector. The extension to spherical symmetries is discussed\nbriefly. The structural difference to the Baylis algebra appears in the shape\nof the hyperbolic unit, which plays an integral part in this formalism.",
    "arxiv_id": "physics/0009079",
    "authors": [
      "S. Ulrych"
    ],
    "categories": [
      "physics.gen-ph",
      "hep-th"
    ],
    "doi": "10.1016/j.physletb.2005.08.072",
    "journal_ref": "Phys.Lett.B625:313-323 (2005)",
    "title": "Relativistic quantum physics with hyperbolic numbers",
    "url": "https://arxiv.org/abs/physics/0009079"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "738d80b9-f8b6-4075-aeaf-99d2a8b3b6c9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}