State-Space Geometry, Statistical Fluctuations, and Black Holes in String Theory

We study the state-space geometry of various extremal and nonextremal black holes in string theory. From the notion of the intrinsic geometry, we offer a state-space perspective to the black hole vacuum fluctuations. For a given black hole entropy, we explicate the intrinsic geometric meaning of the...

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Main Authors: Stefano Bellucci, Bhupendra Nath Tiwari
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2014/589031
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author Stefano Bellucci
Bhupendra Nath Tiwari
author_facet Stefano Bellucci
Bhupendra Nath Tiwari
author_sort Stefano Bellucci
collection DOAJ
description We study the state-space geometry of various extremal and nonextremal black holes in string theory. From the notion of the intrinsic geometry, we offer a state-space perspective to the black hole vacuum fluctuations. For a given black hole entropy, we explicate the intrinsic geometric meaning of the statistical fluctuations, local and global stability conditions, and long range statistical correlations. We provide a set of physical motivations pertaining to the extremal and nonextremal black holes, namely, the meaning of the chemical geometry and physics of correlation. We illustrate the state-space configurations for general charge extremal black holes. In sequel, we extend our analysis for various possible charge and anticharge nonextremal black holes. From the perspective of statistical fluctuation theory, we offer general remarks, future directions, and open issues towards the intrinsic geometric understanding of the vacuum fluctuations and black holes in string theory.
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spelling doaj-art-314c98d99e964c6ead98bfe17934e6692025-02-03T01:20:14ZengWileyAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/589031589031State-Space Geometry, Statistical Fluctuations, and Black Holes in String TheoryStefano Bellucci0Bhupendra Nath Tiwari1INFN-Laboratori Nazionali di Frascati, Via E. Fermi 40, 00044 Frascati, ItalyINFN-Laboratori Nazionali di Frascati, Via E. Fermi 40, 00044 Frascati, ItalyWe study the state-space geometry of various extremal and nonextremal black holes in string theory. From the notion of the intrinsic geometry, we offer a state-space perspective to the black hole vacuum fluctuations. For a given black hole entropy, we explicate the intrinsic geometric meaning of the statistical fluctuations, local and global stability conditions, and long range statistical correlations. We provide a set of physical motivations pertaining to the extremal and nonextremal black holes, namely, the meaning of the chemical geometry and physics of correlation. We illustrate the state-space configurations for general charge extremal black holes. In sequel, we extend our analysis for various possible charge and anticharge nonextremal black holes. From the perspective of statistical fluctuation theory, we offer general remarks, future directions, and open issues towards the intrinsic geometric understanding of the vacuum fluctuations and black holes in string theory.http://dx.doi.org/10.1155/2014/589031
spellingShingle Stefano Bellucci
Bhupendra Nath Tiwari
State-Space Geometry, Statistical Fluctuations, and Black Holes in String Theory
Advances in High Energy Physics
title State-Space Geometry, Statistical Fluctuations, and Black Holes in String Theory
title_full State-Space Geometry, Statistical Fluctuations, and Black Holes in String Theory
title_fullStr State-Space Geometry, Statistical Fluctuations, and Black Holes in String Theory
title_full_unstemmed State-Space Geometry, Statistical Fluctuations, and Black Holes in String Theory
title_short State-Space Geometry, Statistical Fluctuations, and Black Holes in String Theory
title_sort state space geometry statistical fluctuations and black holes in string theory
url http://dx.doi.org/10.1155/2014/589031
work_keys_str_mv AT stefanobellucci statespacegeometrystatisticalfluctuationsandblackholesinstringtheory
AT bhupendranathtiwari statespacegeometrystatisticalfluctuationsandblackholesinstringtheory