{
  "annotation_id": "93764662-b768-413a-80b1-7b0586aa1efd",
  "date_created": "2026-03-02T18:02:48.420000Z",
  "date_modified": "2026-03-02T18:02:48.420000Z",
  "file_hash": "8d57b41879470e54b99c715ce4165829a8234bcfb44de800815fcce438b7d25c",
  "private": false,
  "record": {
    "abstract": "We develop a new concept of quantum mechanics which is based on a generalized\nspace-time and on an action vector space similar to it. Both spaces are\nprovided by algebraic properties. This allows to calculate the Dirac matrixes\nand to derive quantum mechanics equations from structure equations of the\nspecified algebras. A new interpretation of the wave function is given as\ndifferential of the action vector. A generalization of the Dirac equation for\n8-component wave function is derived. It is interpreted as the equation for two\nleptons of the same generation. A procedure of the approximate description of\nfree leptons is formulated. The generalized equation of quantum mechanics is\nreduced to the Dirac, Pauli and Schr\\\"odinger equations by the sequential use\nof this procedure. We explain the existence of three lepton generations.",
    "arxiv_id": "quant-ph/9909053",
    "authors": [
      "A. A. Ketsaris"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Generalized equation of relativistic quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/9909053"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bd42f379-5e18-4d35-8868-637a054b5261",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}