TY - JOUR

T1 - Connecting horizon pixels and interior voxels of a black hole

AU - Nicolini, Piero

AU - Singleton, Douglas

N1 - Funding Information:
This work has been supported by the grant NI 1282/3-1 of the project “Evaporation of microscopic black holes” of the German Research Foundation ( DFG ), by the Helmholtz International Center for FAIR within the framework of the LOEWE program (Landesoffensive zur Entwicklung Wissenschaftlich-Ökonomischer Exzellenz) launched by the State of Hesse and partially by the European Cooperation in Science and Technology (COST) action MP0905 “Black Holes in a Violent Universe”. D.S. would like to thank the generous hospitality of the Frankfurt Institute for Advanced Studies (FIAS), at which this work was initiated as well as Universidad Nacional Autónoma de México where part of this work was completed. D.S. would also acknowledges the support of an APS ITGAP grant.
Publisher Copyright:
© 2014 The Authors.

PY - 2014/9/24

Y1 - 2014/9/24

N2 - 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.

AB - 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.

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U2 - 10.1016/j.physletb.2014.09.038

DO - 10.1016/j.physletb.2014.09.038

M3 - Article

AN - SCOPUS:84907567879

VL - 738

SP - 213

EP - 217

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

ER -