期刊
PHYSICS LETTERS B
卷 726, 期 4-5, 页码 861-865出版社
ELSEVIER
DOI: 10.1016/j.physletb.2013.09.032
关键词
Non-extensive entropy; Black hole thermodynamics; Heavy ion collisions
资金
- Hungarian National Research Fund OTKA [K104260]
- bilateral Hungarian-South-African project NIH [TET_10-1_2011-0061, ZA-15/2009]
- European Union [PCOFUND-GA-2009-246542]
- European Social Fund
- Helmholtz International Center for FAIR
- Foundation for Science and Technology of Portugal
- [TAMOP 4.2.1./B-09/1/KONV-2010-0007]
By regarding the Hawking-Bekenstein entropy of Schwarzschild black hole horizons as a non-extensive Tsallis entropy, its formal logarithm, the Renyi entropy, is considered. The resulting temperature - horizon radius relation has the same form as the one obtained from a (3 + 1)-dimensional black hole in anti-de Sitter space using the original entropy formula. In both cases the temperature has a minimum. A semi-classical estimate of the horizon radius at this minimum leads to a Bekenstein bound for the q-parameter in the Renyi entropy of micro black holes (q >= 1 + 2/pi(2)), which is surprisingly close to fitted q-parameters of cosmic ray spectra and power-law distribution of quarks coalescing to hadrons in high energy accelerator experiments. (C) 2013 Elsevier B.V. All rights reserved.
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