{
  "annotation_id": "fb219a6b-2d7f-4a85-b9e0-3fd5d30e2d00",
  "date_created": "2026-03-02T18:01:49.551000Z",
  "date_modified": "2026-03-02T18:01:49.551000Z",
  "file_hash": "db756559869869a2db154b03a52751725e982be2f2b8b16d509c2cbce29c8ea9",
  "private": false,
  "record": {
    "abstract": "The usual Heisenberg uncertainty relation for position and momentum may be\nreplaced by an exact equality, for suitably chosen measures of position and\nmomentum uncertainty. This \"exact\" uncertainty relation is valid for_all_ pure\nstates, and is sufficiently strong to provide an axiomatic basis for moving\nfrom classical mechanics to quantum mechanics. In particular, the assumption of\na nonclassical momentum fluctuation, having a strength which scales inversely\nwith uncertainty in position, leads from the classical equations of motion to\nthe Schroedinger equation.",
    "arxiv_id": "quant-ph/0201084",
    "authors": [
      "Michael J. W. Hall",
      "Marcel Reginatto"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1002/1521-3978(200205)50:5/7\u003c646::AID-PROP646\u003e3.0.CO;2-7",
    "journal_ref": "Fortschritte der Physik 50 (2002) 646-651",
    "title": "Quantum mechanics from a Heisenberg-type equality",
    "url": "https://arxiv.org/abs/quant-ph/0201084"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "470a9f05-ceee-4af4-a631-bfa0efda0b5c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}