{
  "annotation_id": "8097f336-a7c7-4d44-8aa3-25011914b3a0",
  "date_created": "2026-03-02T18:02:27.724000Z",
  "date_modified": "2026-03-02T18:02:27.724000Z",
  "file_hash": "0d976812595f00a98bff8e0531c800f6ee903d4d27f2c429a90c591b0c46d389",
  "private": false,
  "record": {
    "abstract": "Considerable effort has been devoted to deriving the Born rule (e.g. that\n$|\\psi(x)|^2 dx$ is the probability of finding a system, described by $\\psi$,\nbetween $x$ and $x + dx$) in quantum mechanics. Here we show that the Born rule\nis not solely quantum mechanical; rather, it arises naturally in the Hilbert\nspace formulation of {\\it classical} mechanics as well. These results provide\nnew insights into the nature of the Born rule, and impact on its understanding\nin the framework of quantum mechanics.",
    "arxiv_id": "quant-ph/0604178",
    "authors": [
      "Paul Brumer",
      "Jiangbin Gong"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.73.052109",
    "journal_ref": "Phys. Rev. A 73, 052109 (2006)",
    "title": "The Born Rule in Quantum and Classical Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0604178"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "322c190b-d0aa-426f-8017-45818ff71ff2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}