{
  "annotation_id": "35bb8545-c012-4c80-b7cd-c57ce6a6d870",
  "date_created": "2026-03-02T18:01:38.680000Z",
  "date_modified": "2026-03-02T18:01:38.680000Z",
  "file_hash": "8954188add9f7f479ab088da55812db232b464324591e8701fea9687cad295cc",
  "private": false,
  "record": {
    "abstract": "Within the traditional Hilbert space formalism of quantum mechanics, it is\nnot possible to describe a particle as possessing, simultaneously, a sharp\nposition value and a sharp momentum value. Is it possible, though, to describe\na particle as possessing just a sharp position value (or just a sharp momentum\nvalue)? Some, such as Teller (Journal of Philosophy, 1979), have thought that\nthe answer to this question is No -- that the status of individual continuous\nquantities is very different in quantum mechanics than in classical mechanics.\nOn the contrary, I shall show that the same subtle issues arise with respect to\ncontinuous quantities in classical and quantum mechanics; and that it is, after\nall, possible to describe a particle as possessing a sharp position value\nwithout altering the standard formalism of quantum mechanics.",
    "arxiv_id": "quant-ph/0003074",
    "authors": [
      "Hans Halvorson"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1023/A:1017574203443",
    "journal_ref": "Journal of Philosophical Logic 30, 27-50 (2001)",
    "title": "On the nature of continuous physical quantities in classical and quantum   mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0003074"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ea903ee3-255b-404e-a367-79960bdca520",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}