{
  "id": "0712.1647",
  "version": "v4",
  "published": "2007-12-11T05:07:44.000Z",
  "updated": "2008-04-22T03:17:49.000Z",
  "title": "Non-associativity, supersymmetry and hidden variables",
  "authors": [
    "Vladimir Dzhunushaliev"
  ],
  "comment": "typos corrected",
  "journal": "J.Math.Phys.49:042108,2008",
  "doi": "10.1063/1.2907868",
  "categories": [
    "quant-ph",
    "hep-ph",
    "hep-th",
    "math-ph",
    "math.MP",
    "math.RA"
  ],
  "abstract": "It is shown that the supersymmetric quantum mechanics has an octonionic generalization. The generalization is based on the inclusion of quaternions into octonions. The elements from the coset octonions/quaternions are unobservables bacause they cannot be considered as quantum operators as a consequence of their non-associative properties. The idea that the octonionic generalization of the supersymmetric quantum mechanics describes an observable particle formed with unobservable ``particles'' is presented.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2008-04-22T03:17:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hidden variables",
      "supersymmetric quantum mechanics",
      "non-associativity",
      "octonionic generalization",
      "supersymmetry"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 2008,
      "month": "Apr",
      "volume": 49,
      "number": 4,
      "pages": "042108"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 770372,
      "adsabs": "2008JMP....49d2108D"
    }
  }
}