{
  "annotation_id": "ea5d3477-9bf0-4e67-9e50-88c860321d92",
  "date_created": "2026-03-02T18:02:27.109000Z",
  "date_modified": "2026-03-02T18:02:27.109000Z",
  "file_hash": "bcc4c927f651bed1477b97c53cb589dadaa14bd200de3bbfced4a83f95879aad",
  "private": false,
  "record": {
    "abstract": "The Bell-Kochen-Specker conditions (BKS) for a deterministic noncontextual\nhidden-variable model are wonderfully simple to state, deal with just\none-dimensional projectors on a Hilbert space H and make no reference to a\nprobabilistic phase space or quantum system. They only ask for an assignment of\nzero or one to every projector such that the assignment respects orthogonal\nresolutions of the identity. Various no-go results in the literature show that\nthe pair of statements {BKS is valid; dim H greater than or equal to 3} are\ninconsistent. Here we show, more radically, that the pair actually contradicts\nthe dimensionality of the space itself, by implying that there can exist at\nmost a single one-dimensional projector acting on H. Our derivation involves\nonly elementary inner product spaces. It is non-probabilistic, inequality-free,\nstate independent, does not use entanglement, and is simultaneously valid in\nall dimensions three or greater.",
    "arxiv_id": "quant-ph/0606063",
    "authors": [
      "James D. Malley"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2006.06.022",
    "title": "The Collapse of Bell Determinism",
    "url": "https://arxiv.org/abs/quant-ph/0606063"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "304d5aa9-8aad-4743-aaa0-d8cee13b638a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}