{
  "annotation_id": "a51c7f47-ed19-4d36-bc6d-ae165b499c05",
  "date_created": "2026-03-02T18:02:09.391000Z",
  "date_modified": "2026-03-02T18:02:09.391000Z",
  "file_hash": "bbf5e54de061dff61f7ce3bb7d181a96df744b71e84546bc080c32b98cfd90fe",
  "private": false,
  "record": {
    "abstract": "The Hamilton-Jacobi method is generalized, both, in classical and\nrelativistic mechanics. The implications in quantum mechanics are considered in\nthe case of Klein-Gordon equation. We find that the wave functions of\nKlein-Gordon theory can be considered as describing the motion of an ensemble\nof particles that move under the action of the electromagnetic field alone,\nwithout quantum potentials, hidden uninterpreted variables, or zero point\nfields. The number of particles is not locally conserved.",
    "arxiv_id": "quant-ph/0409012",
    "authors": [
      "O. Chavoya-Aceves"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "title": "Generalization of Hamilton-Jacobi method and its consequences in   classical, relativistic, and quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0409012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6f1ca969-a148-433e-9cfc-7ffb79329d68",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}