State-Space Geometry, Statistical Fluctuations, and Black Holes in String Theory
Author(s) -
Stefano Bellucci,
Bhupendra Nath Tiwari
Publication year - 2014
Publication title -
advances in high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.59
H-Index - 49
eISSN - 1687-7365
pISSN - 1687-7357
DOI - 10.1155/2014/589031
Subject(s) - physics , string theory , black hole (networking) , theoretical physics , black hole thermodynamics , entropy (arrow of time) , geometry , classical mechanics , quantum mechanics , mathematics , computer network , routing protocol , routing (electronic design automation) , computer science , link state routing protocol
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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