Black hole as a wormhole factory

There have been lots of debates about the final fate of an evaporating black hole and the singularity hidden by an event horizon in quantum gravity. However, on general grounds, one may argue that a black hole stops radiation at the Planck mass (ħc/G)1/2∼10−5 g, where the radiated energy is comparab...

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Main Authors: Sung-Won Kim, Mu-In Park
Format: Article
Language:English
Published: Elsevier 2015-12-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269315008047
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author Sung-Won Kim
Mu-In Park
author_facet Sung-Won Kim
Mu-In Park
author_sort Sung-Won Kim
collection DOAJ
description There have been lots of debates about the final fate of an evaporating black hole and the singularity hidden by an event horizon in quantum gravity. However, on general grounds, one may argue that a black hole stops radiation at the Planck mass (ħc/G)1/2∼10−5 g, where the radiated energy is comparable to the black hole's mass. And also, it has been argued that there would be a wormhole-like structure, known as “spacetime foam”, due to large fluctuations below the Planck length (ħG/c3)1/2∼10−33 cm. In this paper, as an explicit example, we consider an exact classical solution which represents nicely those two properties in a recently proposed quantum gravity model based on different scaling dimensions between space and time coordinates. The solution, called “Black Wormhole”, consists of two different states, depending on its mass parameter M and an IR parameter ω: For the black hole state (with ωM2>1/2), a non-traversable wormhole occupies the interior region of the black hole around the singularity at the origin, whereas for the wormhole state (with ωM2<1/2), the interior wormhole is exposed to an outside observer as the black hole horizon is disappearing from evaporation. The black hole state becomes thermodynamically stable as it approaches the merging point where the interior wormhole throat and the black hole horizon merges, and the Hawking temperature vanishes at the exact merge point (with ωM2=1/2). This solution suggests the “Generalized Cosmic Censorship” by the existence of a wormhole-like structure which protects the naked singularity even after the black hole evaporation. One could understand the would-be wormhole inside the black hole horizon as the result of microscopic wormholes created by “negative” energy quanta which have entered the black hole horizon in Hawking radiation process; the quantum black hole could be a wormhole factory! It is found that this speculative picture may be consistent with the recent “ER=EPR” proposal for resolving the black hole entanglement debates.
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spelling doaj.art-13c955c9ffc64366a3d2c38d59a90ce42022-12-22T00:49:16ZengElsevierPhysics Letters B0370-26931873-24452015-12-01751C22022610.1016/j.physletb.2015.10.045Black hole as a wormhole factorySung-Won Kim0Mu-In Park1Department of Science Education, Ewha Womans University, Seoul, 120-750, Republic of KoreaResearch Institute for Basic Science, Sogang University, Seoul, 121-742, Republic of KoreaThere have been lots of debates about the final fate of an evaporating black hole and the singularity hidden by an event horizon in quantum gravity. However, on general grounds, one may argue that a black hole stops radiation at the Planck mass (ħc/G)1/2∼10−5 g, where the radiated energy is comparable to the black hole's mass. And also, it has been argued that there would be a wormhole-like structure, known as “spacetime foam”, due to large fluctuations below the Planck length (ħG/c3)1/2∼10−33 cm. In this paper, as an explicit example, we consider an exact classical solution which represents nicely those two properties in a recently proposed quantum gravity model based on different scaling dimensions between space and time coordinates. The solution, called “Black Wormhole”, consists of two different states, depending on its mass parameter M and an IR parameter ω: For the black hole state (with ωM2>1/2), a non-traversable wormhole occupies the interior region of the black hole around the singularity at the origin, whereas for the wormhole state (with ωM2<1/2), the interior wormhole is exposed to an outside observer as the black hole horizon is disappearing from evaporation. The black hole state becomes thermodynamically stable as it approaches the merging point where the interior wormhole throat and the black hole horizon merges, and the Hawking temperature vanishes at the exact merge point (with ωM2=1/2). This solution suggests the “Generalized Cosmic Censorship” by the existence of a wormhole-like structure which protects the naked singularity even after the black hole evaporation. One could understand the would-be wormhole inside the black hole horizon as the result of microscopic wormholes created by “negative” energy quanta which have entered the black hole horizon in Hawking radiation process; the quantum black hole could be a wormhole factory! It is found that this speculative picture may be consistent with the recent “ER=EPR” proposal for resolving the black hole entanglement debates.http://www.sciencedirect.com/science/article/pii/S0370269315008047
spellingShingle Sung-Won Kim
Mu-In Park
Black hole as a wormhole factory
Physics Letters B
title Black hole as a wormhole factory
title_full Black hole as a wormhole factory
title_fullStr Black hole as a wormhole factory
title_full_unstemmed Black hole as a wormhole factory
title_short Black hole as a wormhole factory
title_sort black hole as a wormhole factory
url http://www.sciencedirect.com/science/article/pii/S0370269315008047
work_keys_str_mv AT sungwonkim blackholeasawormholefactory
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