{
  "annotation_id": "f63a6dc1-0525-4635-9594-a25e87e7340e",
  "date_created": "2026-03-02T18:02:06.343000Z",
  "date_modified": "2026-03-02T18:02:06.343000Z",
  "file_hash": "35f8fcbd10fe7dddc26071bf6dfcfa6d55f6be42cd4702f8980f865cbf61c934",
  "private": false,
  "record": {
    "abstract": "We describe a scheme of quantum mechanics in which the Hilbert space and\nlinear operators are only secondary structures of the theory. As primary\nstructures we consider observables, elements of noncommutative algebra, and the\nphysical states, the nonlinear functionals on this algebra, which associate\nwith results of single measurement. We show that in such scheme the\nmathematical apparatus of the standard quantum mechanics does not contradict a\nhypothesis on existence of an objective local reality, a principle of a\ncausality and Kolmogorovian probability theory.",
    "arxiv_id": "quant-ph/0404045",
    "authors": [
      "D. A. Slavnov"
    ],
    "categories": [
      "quant-ph",
      "astro-ph",
      "hep-ph",
      "hep-th"
    ],
    "title": "Quantum mechanics without quantum logic",
    "url": "https://arxiv.org/abs/quant-ph/0404045"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dbfa59b5-b2ca-4d1f-a174-594ab7401fed",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}