Connecting horizon pixels and interior voxels of a black hole

Nicolini, Piero (Frankfurt Institute for Advanced Studies (FIAS), Ruth-Moufang-Str. 1, Frankfurt am Main, 60438, Germany) (Institut für Theoretische Physik, J.W. Goethe-Universität, Max-von-Laue-Str. 1, Frankfurt am Main, 60438, Germany) ; Singleton, Douglas (Department of Physics, California State University, Fresno, CA, 93740-8031, USA) (Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, Distrito Federal, 04510, Mexico)

23 September 2014

Abstract: In this paper we discuss to what extent one can infer details of the interior structure of a black hole based on its horizon. Recalling that black hole thermal properties are connected to the non-classical nature of gravity, we circumvent the restrictions of the no-hair theorem by postulating that the black hole interior is singularity free due to violations of the usual energy conditions. Further these conditions allow one to establish a one-to-one, holographic projection between Planckian areal “bits” on the horizon and “voxels”, representing the gravitational degrees of freedom in the black hole interior. We illustrate the repercussions of this idea by discussing an example of the black hole interior consisting of a de Sitter core postulated to arise from the local graviton quantum vacuum energy. It is shown that the black hole entropy can emerge as the statistical entropy of a gas of voxels.

Published in: Physics letters B 738 (2014) 213-217
Published by: Elsevier
DOI: 10.1016/j.physletb.2014.09.038
License: CC-BY-3.0

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