{
  "annotation_id": "67360b8e-f391-4e31-b28f-60c54ddad33a",
  "date_created": "2026-03-02T18:02:41.646000Z",
  "date_modified": "2026-03-02T18:02:41.646000Z",
  "file_hash": "7202d2d29b17f57ca7e4f5e69e1f49245ac4a34a163d45e124be4b2628460deb",
  "private": false,
  "record": {
    "abstract": "Aharonov-Kaufherr model of quantum space-time which accounts Reference Frames\n(RF) quantum effects is considered in Relativistic Quantum Mechanics framework.\nFor RF connected with some macroscopic object its free quantum motion - wave\npacket smearing results in additional uncertainty of test particle coordinate.\nDue to the same effects the use of Galilean or Lorentz transformations for this\nRFs becomes incorrect and the special quantum space-time transformations are\nintroduced.\n  In particular for any RF the proper time becomes the operator in other RF.\nThis time operator calculated solving relativistic Heisenberg equations for\nsome quantum clocks models.\n  Generalized Klein- Gordon equation proposed which depends on both the\nparticle and RF masses.",
    "arxiv_id": "quant-ph/9801075",
    "authors": [
      "S. Mayburov"
    ],
    "categories": [
      "quant-ph",
      "gr-qc"
    ],
    "title": "Quantum Reference Frames and Relativistic Time Operator",
    "url": "https://arxiv.org/abs/quant-ph/9801075"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "675a5581-9326-4eb2-a6c2-dc00f7e6afda",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}