{
  "id": "1005.4932",
  "version": "v2",
  "published": "2010-05-26T20:01:02.000Z",
  "updated": "2010-07-08T14:58:01.000Z",
  "title": "Failure of Bell's Theorem and the Local Causality of the Entangled Photons",
  "authors": [
    "Joy Christian"
  ],
  "comment": "4 pages; Further elaborations may be found in arXiv:0904.4259, arXiv:quant-ph/0703179, arXiv:0707.1333, arXiv:0806.3078, and arXiv:quant-ph/0703244",
  "categories": [
    "quant-ph",
    "gr-qc"
  ],
  "abstract": "A counterexample to Bell's theorem is presented which uses a pair of photons instead of spin-1/2 particles used in our previous counterexamples. A locally causal protocol is provided for Alice and Bob, which allows them to simulate observing photon polarizations at various angles, and record their results as A=+/-1 in S^3 and B=+/-1 in S^3, respectively. When these results are compared, the correlations are seen to be exactly those predicted by quantum mechanics; namely cos 2(alpha - beta), where alpha and beta are the angles of polarizers. The key ingredient in our counterexample is the topology of 3-sphere, which remains closed under multiplication, thus preserving the locality condition of Bell.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-07-08T14:58:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.-a",
      "03.65.Ud",
      "02.10.-v"
    ],
    "keywords": [
      "bells theorem",
      "local causality",
      "entangled photons",
      "simulate observing photon polarizations",
      "counterexample"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 856598,
      "adsabs": "2010arXiv1005.4932C"
    }
  }
}