{
  "annotation_id": "be521f24-4b03-4664-a2a3-b0c1d6288a75",
  "date_created": "2026-03-02T18:02:44.594000Z",
  "date_modified": "2026-03-02T18:02:44.594000Z",
  "file_hash": "df58f35bfc4c34af1b05f78aee476b51fea0fda6dce0fd31bb4f48283a9d8ed2",
  "private": false,
  "record": {
    "abstract": "We study the variances of the coordinates of an event considered as quantum\nobservables in a Poincare\u0027 covariant theory. The starting point is their\ndescription in terms of a covariant positive-operator-valued measure on the\n  Minkowski space-time. Besides the usual uncertainty relations, we find\nstronger inequalities involving the mass and the centre-of-mass angular\nmomentum of the object that defines the event. We suggest that these\ninequalities may help to clarify some of the arguments which have been given in\nfavour of a gravitational quantum limit to the accuracy of time and space\nmeasurements.",
    "arxiv_id": "quant-ph/9807059",
    "authors": [
      "M. Toller"
    ],
    "categories": [
      "quant-ph",
      "astro-ph",
      "gr-qc"
    ],
    "journal_ref": "Int.J.Theor.Phys. 38 (1999) 2015-2028",
    "title": "Variance of the Quantum Coordinates of an Event",
    "url": "https://arxiv.org/abs/quant-ph/9807059"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b9c00703-acf4-4b66-9ab2-74b8f2c6955d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}