{
  "id": "1502.07789",
  "version": "v1",
  "published": "2015-02-26T23:23:35.000Z",
  "updated": "2015-02-26T23:23:35.000Z",
  "title": "Uniqueness of Measures in Loop Quantum Cosmology",
  "authors": [
    "Maximilian Hanusch"
  ],
  "comment": "4 pages",
  "categories": [
    "math-ph",
    "gr-qc",
    "math.MP"
  ],
  "abstract": "In a paper of Ashtekar and Campiglia, residual diffeomorphisms have been used to single out the standard representation of the reduced holonomy-flux algebra in homogeneous loop quantum cosmology (LQC). We show that, in the homogeneous isotropic case, unitarity of the translations w.r.t. the extended $\\mathbb{R}$-action (exponentiated reduced fluxes in the standard approach) singles out the Bohr measure on both the standard quantum configuration space $\\mathbb{R}_\\mathrm{Bohr}$ as well as on the Fleischhack one. Thus, leads to the standard kinematical Hilbert space of LQC in both situations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-26T23:23:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28C05",
      "28C15",
      "46N50"
    ],
    "keywords": [
      "uniqueness",
      "standard quantum configuration space",
      "homogeneous loop quantum cosmology",
      "standard kinematical hilbert space",
      "standard representation"
    ],
    "publication": {
      "doi": "10.1063/1.4931397"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1346831
    }
  }
}