{
  "id": "quant-ph/0703179",
  "version": "v3",
  "published": "2007-03-20T16:48:46.000Z",
  "updated": "2010-04-22T17:11:53.000Z",
  "title": "Disproof of Bell's Theorem by Clifford Algebra Valued Local Variables",
  "authors": [
    "Joy Christian"
  ],
  "comment": "4 pages; RevTeX4; Further elaborations may be found in arXiv:0904.4259, arXiv:0806.3078, arXiv:0707.1333, and arXiv:quant-ph/0703244",
  "categories": [
    "quant-ph",
    "gr-qc",
    "hep-th"
  ],
  "abstract": "It is shown that Bell's theorem fails for the Clifford algebra valued local realistic variables. This is made evident by exactly reproducing quantum mechanical expectation value for the EPR-Bohm type spin correlations observable by means of a local, deterministic, Clifford algebra valued variable, without necessitating either remote contextuality or backward causation. Since Clifford product of multivector variables is non-commutative in general, the spin correlations derived within our locally causal model violate the CHSH inequality just as strongly as their quantum mechanical counterparts.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-04-22T17:11:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.-a",
      "03.65.Ud",
      "02.10.Ud"
    ],
    "keywords": [
      "clifford algebra valued local variables",
      "bells theorem",
      "valued local realistic variables",
      "algebra valued local realistic",
      "quantum mechanical expectation value"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 746949,
      "adsabs": "2007quant.ph..3179C"
    }
  }
}