{
  "id": "1410.4935",
  "version": "v1",
  "published": "2014-10-18T10:01:37.000Z",
  "updated": "2014-10-18T10:01:37.000Z",
  "title": "Mathematical and physical meaning of the Bell inequalities",
  "authors": [
    "Emilio Santos"
  ],
  "categories": [
    "quant-ph"
  ],
  "abstract": "It is shown that the Bell inequalities are closely related to the triangle inequalities involving distance functions amongst pairs of random variables with values {0,1} . A hidden variables model may be defined as a mapping between a set of quantum projection operators and a set of random variables. The model is noncontextual if there is a joint probability distribution. The Bell inequalities are necessary conditions for its existence. The inequalities are most relevant when measurements are performed at space-like separation, a possibility showing a conflict between quantum mechanics and local realism (Bell's theorem).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-18T10:01:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bell inequalities",
      "physical meaning",
      "random variables",
      "hidden variables model",
      "quantum projection operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.4935S"
    }
  }
}