State-Space Geometry, Statistical Fluctuations, and Black Holes in String TheoryReport as inadecuate

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Advances in High Energy PhysicsVolume 2014 2014, Article ID 589031, 17 pages

Research ArticleINFN-Laboratori Nazionali di Frascati, Via E. Fermi 40, 00044 Frascati, Italy

Received 5 February 2014; Accepted 8 April 2014; Published 7 May 2014

Academic Editor: Christian Corda

Copyright © 2014 Stefano Bellucci and Bhupendra Nath Tiwari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP



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.

Author: Stefano Bellucci and Bhupendra Nath Tiwari



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