{
  "id": "1110.4492",
  "version": "v3",
  "published": "2011-10-20T11:02:46.000Z",
  "updated": "2011-12-02T15:30:10.000Z",
  "title": "Information dynamics and new geometric foundations of quantum theory",
  "authors": [
    "Ryszard Paweł Kostecki"
  ],
  "comment": "To appear in: Khrennikov A. (ed.), Proceedings of the Foundations of Probability and Physics 6 conference, Linneuniversitetet, Vaxjo, June 13-16, 2011, AIP Conf. Proc., Springer, Berlin",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We discuss new approach to mathematical foundations of quantum theory, which is completely independent of Hilbert spaces and measure spaces. New kinematics is defined by non-linear geometry of spaces of integrals on abstract non-commutative algebras. New dynamics is defined by constrained maximisation of quantum relative entropy. We recover Hilbert space based approach (including unitary evolution and the von Neumann--L\\\"{u}ders rule) and measure theoretic approach to probability theory (including Bayes' rule) as special cases of our approach.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-12-02T15:30:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum theory",
      "geometric foundations",
      "information dynamics",
      "hilbert space",
      "measure theoretic approach"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.4492P"
    }
  }
}