{
  "id": "1801.05690",
  "version": "v1",
  "published": "2018-01-13T20:25:07.000Z",
  "updated": "2018-01-13T20:25:07.000Z",
  "title": "Regularization of the big bang singularity with random perturbations",
  "authors": [
    "Edward Belbruno",
    "BingKan Xue"
  ],
  "comment": "21 pages, 4 figures",
  "categories": [
    "gr-qc"
  ],
  "abstract": "We show how to regularize the big bang singularity in the presence of random perturbations modeled by Brownian motion using stochastic methods. We prove that the physical variables in a contracting universe dominated by a scalar field can be continuously and uniquely extended through the big bang as a function of time to an expanding universe only for a discrete set of values of the equation of state satisfying special co-prime number conditions. This result significantly generalizes a previous result \\cite{Xue:2014} that did not model random perturbations. This result implies that the extension from a contracting to an expanding universe for the discrete set of co-prime equation of state is robust, which is a surprising result. Implications for a purely expanding universe are discussed, such as a non-smooth, randomly varying scale factor near the big bang.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-13T20:25:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "big bang singularity",
      "random perturbations",
      "expanding universe",
      "satisfying special co-prime number conditions",
      "state satisfying special co-prime number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}