{
  "annotation_id": "3f7613df-0b6a-4f97-bc08-3cea6e293b3c",
  "date_created": "2026-03-02T18:02:10.340000Z",
  "date_modified": "2026-03-02T18:02:10.340000Z",
  "file_hash": "e22a395a0d50e149417923eb56f36f9dafbd08331a3fb8192724b7c438887751",
  "private": false,
  "record": {
    "abstract": "We find a quantum mechanical formulation of proper time for spin 1/2\nparticles within the framework of the Dirac theory. It is shown that an\noperator corresponds to the rate of the proper time and that the operator\ncontains terms which oscillate with a very high frequency. We deduce, as an\neffect of these terms, the existence of an interference between the magnetic\nfield and the rate of proper time. There is a possibility that the conclusion\nderived in this letter has some implications for astrophysics.",
    "arxiv_id": "quant-ph/0406201",
    "authors": [
      "Shoju Kudaka",
      "Shuichi Matsumoto"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "A Quantum Theoretical Formulation of Proper Time for Spin 1/2 Particles",
    "url": "https://arxiv.org/abs/quant-ph/0406201"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "baacffce-9af3-4fba-8768-e74441e74760",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}