{
  "annotation_id": "7f2f5013-2c2e-4fdd-b1b9-e709f1174e25",
  "date_created": "2026-03-02T18:02:16.221000Z",
  "date_modified": "2026-03-02T18:02:16.221000Z",
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  "record": {
    "abstract": "The hidden-variables premise is shown to be equivalent to the existence of\ngeneric filters for algebras of commuting propositions and for certain more\ngeneral propositional systems. The significance of this equivalence is\ninterpreted in light of the theory of generic filters and boolean-valued models\nin set theory (the method of forcing). The apparent stochastic nature of\nquantum observation is derived for these hidden-variables models.",
    "arxiv_id": "quant-ph/0506040",
    "authors": [
      "Robert A. Van Wesep"
    ],
    "categories": [
      "quant-ph",
      "math.LO"
    ],
    "doi": "10.1016/j.aop.2006.02.003",
    "journal_ref": "Annals of Physics 321 (2006) 2453-2490",
    "title": "Hidden variables in quantum mechanics: Generic models, set-theoretic   forcing, and the emergence of probability",
    "url": "https://arxiv.org/abs/quant-ph/0506040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d48ca47e-d655-4332-aa9f-b711df53a072",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}