{
  "annotation_id": "f8b52e65-d3d0-460c-ac7f-643d1a789603",
  "date_created": "2026-03-02T18:01:00.474000Z",
  "date_modified": "2026-03-02T18:01:00.474000Z",
  "file_hash": "9483c4b868bfca5462930304daa476ca5ab82f6acbebf020e993e3238df655d3",
  "private": false,
  "record": {
    "abstract": "Classical model S{Dcl} of the Dirac particle S_D is constructed. S_D is the\ndynamic system described by the Dirac equation. For investigation of S_D and\nconstruction of S_{Dcl} one uses a new dynamic method: dynamic disquantization.\nThis relativistic purely dynamic procedure does not use principles of quantum\nmechanics. The obtained classical analog S_{Dcl} is described by a system of\nordinary differential equations, containing the quantum constant as a\nparameter. Dynamic equations for S_{Dcl} are determined by the Dirac equation\nuniquely. The dynamic system S_{Dcl} has ten degrees of freedom and cannot be a\npointlike particle, because it has an internal structure. Internal degrees of\nfreedom appears to be described nonrelativistically. One discusses interplay\nbetween the conventional axiomatic methods and the dynamical methods of the\nquantum systems investigation. In particular, one discusses the reasons, why\nthe internal degrees of freedom of the Dirac particle and their nonrelativistic\ncharacter were not discovered during eighty years.",
    "arxiv_id": "physics/0507183",
    "authors": [
      "Yuri A. Rylov"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "title": "Formalized procedure of transition to classical limit in application to   the Dirac equation",
    "url": "https://arxiv.org/abs/physics/0507183"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cedff33d-a58f-4a39-a32e-67c6d7a6b598",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}