Holographic quantum statistics from dual thermodynamics

Csaba Balázs, István Szapudi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

We propose dual thermodynamics corresponding to black hole mechanics with the identifications E′ → A/4, S′ → M, and T′ → T-1 in Planck units. Here A, M and T are the horizon area, mass and Hawking temperature of a black hole and E′, S′ and T′ are the energy, entropy and temperature of a corresponding dual quantum system. We show that, for a Schwarzschild black hole, the dual variables formally satisfy all three laws of thermodynamics, including the Planck-Nernst form of the third law requiring that the entropy tend to zero at low temperature. Once the third law is satisfied, it is straightforward to construct simple (dual) quantum systems representing black hole mechanics. In addition to recovering black hole mechanics, we obtain quantum corrections to the entropy, including the logarithmic correction obtained by previous authors.

Original languageEnglish
Title of host publicationSUSY06
Subtitle of host publication14th International Conference on Supersymmetry and the Unification of Fundamental Interactions
Pages560-563
Number of pages4
DOIs
Publication statusPublished - Aug 3 2007
EventSUSY06: 14th International Conference on Supersymmetry and the Unification of Fundamental Interactions - Irvine, CA, United States
Duration: Jun 12 2006Jun 17 2006

Publication series

NameAIP Conference Proceedings
Volume903
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherSUSY06: 14th International Conference on Supersymmetry and the Unification of Fundamental Interactions
CountryUnited States
CityIrvine, CA
Period6/12/066/17/06

Keywords

  • Holography
  • Quantum gravity
  • Thermodynamics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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    Balázs, C., & Szapudi, I. (2007). Holographic quantum statistics from dual thermodynamics. In SUSY06: 14th International Conference on Supersymmetry and the Unification of Fundamental Interactions (pp. 560-563). (AIP Conference Proceedings; Vol. 903). https://doi.org/10.1063/1.2735247