State-space Geometry, Statistical Fluctuations and Black Holes in String Theory
Stefano Bellucci, Bhupendra Nath Tiwari
TL;DR
This paper explores the intrinsic geometric structure of black hole thermodynamics in string theory, analyzing stability, fluctuations, and correlations for extremal and nonextremal black holes to deepen understanding of quantum gravity effects.
Contribution
It introduces a novel geometric framework for understanding black hole fluctuations and stability in string theory, extending analysis to various charge configurations and nonextremal cases.
Findings
Intrinsic geometry relates to black hole stability.
Statistical fluctuations reveal long-range correlations.
Extended analysis to nonextremal black holes.
Abstract
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 new perspective of black hole vacuum fluctuations. For a given black hole entropy, we explicate the intrinsic state-space 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, \textit{viz.}, 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…
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