{
  "annotation_id": "3ea3b318-28c7-436d-af55-991be10cfb4b",
  "date_created": "2026-03-02T18:01:56.556000Z",
  "date_modified": "2026-03-02T18:01:56.556000Z",
  "file_hash": "69c38b3ea5ec6008843909c7f695ebf564df00fdfb5a8cd26b97d11deadc8efa",
  "private": false,
  "record": {
    "abstract": "We establish connections between the requirement of measurability of a\nprobability space and the principle of complimentarity in quantum mechanics. It\nis shown that measurability of a probability space implies the dependence of\nresults of quantum measurement not only on the properties of a quantum object\nunder consideration, but also on the classical characteristics of the measuring\ndevice which is used. We show that if one takes into account the requirement of\nmeasurability in a quantum case, the Bell inequality does not follow from the\nhypothesis about the existence of an objective reality.",
    "arxiv_id": "quant-ph/0301027",
    "authors": [
      "D. A. Slavnov"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "title": "Quantum measurements and Kolmogorovian probability theory",
    "url": "https://arxiv.org/abs/quant-ph/0301027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "30e343e9-686f-43e4-9506-1a745ef6f0e8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}