{
  "id": "hep-th/9610086",
  "version": "v2",
  "published": "1996-10-11T16:48:26.000Z",
  "updated": "1996-11-20T00:07:03.000Z",
  "title": "Entropy of Localized States and Black Hole Evaporation",
  "authors": [
    "Ken D. Olum"
  ],
  "comment": "27 pages, ReVTeX, 5 postscript figures using epsf. Miscellaneous cleanups, one section rewritten for clarity",
  "journal": "Phys.Rev. D55 (1997) 6168-6180",
  "doi": "10.1103/PhysRevD.55.6168",
  "categories": [
    "hep-th"
  ],
  "abstract": "We call a state \"vacuum-bounded\" if every measurement performed outside a specified interior region gives the same result as in the vacuum. We compute the maximum entropy of a vacuum-bounded state with a given energy for a one-dimensional model, with the aid of numerical calculations on a lattice. The maximum entropy is larger than it would be for rigid wall boundary conditions by an amount $\\delta S$ which for large energies is less than or approximately $(1/6) ln (L_in T)$, where L_in is the length of the interior region. Assuming that the state resulting from the evaporation of a black hole is similar to a vacuum-bounded state, and that the similarity between vacuum-bounded and rigid-wall-bounded problems extends from 1 to 3 dimensions, we apply these results to the black hole information paradox. We conclude that large amounts of information cannot be emitted in the final explosion of a black hole.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1996-11-20T00:07:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "04.70.Dy",
      "05.30.-d"
    ],
    "keywords": [
      "black hole evaporation",
      "localized states",
      "maximum entropy",
      "interior region",
      "rigid wall boundary conditions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 424476
    }
  }
}