{
  "annotation_id": "e977c983-cb02-488b-ac87-646d079e5f4d",
  "date_created": "2026-03-02T18:02:27.707000Z",
  "date_modified": "2026-03-02T18:02:27.707000Z",
  "file_hash": "2ab4f4350f5ff22b45a5ced3a594d9aa677c22eaf20de7ca8aea085af8405afa",
  "private": false,
  "record": {
    "abstract": "Bohmian mechanics represents the universe as a set of paths with a\nprobability measure defined on it. The way in which a mathematical model of\nthis kind can explain the observed phenomena of the universe is examined in\ngeneral. It is shown that the explanation does not make use of the full\nprobability measure, but rather of a suitable set function deriving from it,\nwhich defines relative typicality between single-time cylinder sets. Such a set\nfunction can also be derived directly from the standard quantum formalism,\nwithout the need of an underlying probability measure. The key concept for this\nderivation is the {\\it quantum typicality rule}, which can be considered as a\ngeneralization of the Born rule. The result is a new formulation of quantum\nmechanics, in which particles follow definite trajectories, but which is only\nbased on the standard formalism of quantum mechanics.",
    "arxiv_id": "quant-ph/0605162",
    "authors": [
      "Bruno Galvan"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s10701-007-9174-0",
    "journal_ref": "Found. Phys. 37 1540-1562 (2007)",
    "title": "Typicality vs. probability in trajectory-based formulations of quantum   mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0605162"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6473a9b0-e1bb-4554-aa69-a51698cb6994",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}