{
  "annotation_id": "eadc2d51-6b97-400c-9828-b9c025bcb214",
  "date_created": "2026-03-02T18:02:41.416000Z",
  "date_modified": "2026-03-02T18:02:41.416000Z",
  "file_hash": "933e9fb7e3271fffed333979d79023afc38834907b774040a6473ccf65b14973",
  "private": false,
  "record": {
    "abstract": "We discuss the use of histories labelled by a continuous time in the approach\nto consistent-histories quantum theory in which propositions about the history\nof the system are represented by projection operators on a Hilbert space. This\nextends earlier work by two of us \\cite{IL95} where we showed how a continuous\ntime parameter leads to a history algebra that is isomorphic to the canonical\nalgebra of a quantum field theory. We describe how the appropriate\nrepresentation of the history algebra may be chosen by requiring the existence\nof projection operators that represent propositions about time average of the\nenergy. We also show that the history description of quantum mechanics contains\nan operator corresponding to velocity that is quite distinct from the momentum\noperator. Finally, the discussion is extended to give a preliminary account of\nquantum field theory in this approach to the consistent histories formalism.",
    "arxiv_id": "quant-ph/9711031",
    "authors": [
      "C. J. Isham",
      "N. Linden",
      "K. Savvidou",
      "S. Schreckenberg"
    ],
    "categories": [
      "quant-ph",
      "gr-qc"
    ],
    "doi": "10.1063/1.532265",
    "journal_ref": "J.Math.Phys. 39 (1998) 1818-1834",
    "title": "Continuous Time and Consistent Histories",
    "url": "https://arxiv.org/abs/quant-ph/9711031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bf6ecaa8-4fb6-486a-89c9-29a57094fb1e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}