{
  "annotation_id": "dcb1f6d7-3741-41bd-99cf-d0a3131fe1a5",
  "date_created": "2026-03-02T18:02:40.707000Z",
  "date_modified": "2026-03-02T18:02:40.707000Z",
  "file_hash": "8d4baad1beadd29dc9b93c252e3e798fdc5a05a4b9968084e9f199c899a78d27",
  "private": false,
  "record": {
    "abstract": "The recent literature shows a renewed interest, with various independent\napproaches, in the classical theories for spin. Considering the possible\ninterest of those results, at least for the electron case, we purpose in this\npaper to explore their physical and mathematical meaning, by the natural and\npowerful language of Clifford algebras (which, incidentally, will allow us to\nunify those different approaches). In such theories, the ordinary electron is\nin general associated to the mean motion of a point-like \"constituent\" Q, whose\ntrajectory is a cylindrical helix. We find, in particular, that the object Q\nobeys a new, non-linear Dirac-like equation, such that --when averaging over an\ninternal cycle (which corresponds to linearization)-- it transforms into the\nordinary Dirac equation (valid for the electron as a whole).",
    "arxiv_id": "quant-ph/9803036",
    "authors": [
      "M. Pavsic",
      "Erasmo Recami",
      "W. A. Rodrigues Jr"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/0370-2693(93)91543-V",
    "journal_ref": "Hadronic J.18:98,1995; Phys.Lett.B318:481-488,1993",
    "title": "Electron structure, Zitterbewegung, and the new non-linear Dirac-like   equation",
    "url": "https://arxiv.org/abs/quant-ph/9803036"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4f3fa490-757c-4850-a8f0-8d5a3bce264d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}