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Advances in High Energy Physics
Volume 2017, Article ID 7289625, 7 pages
https://doi.org/10.1155/2017/7289625
Research Article

On Boundedness of Entropy of Photon Gas in Noncommutative Spacetime

1Department of Physics, University of Florida, Gainesville, FL 32611, USA
2Bose Centre for Advanced Study and Research in Natural Science, University of Dhaka, Dhaka, Bangladesh

Correspondence should be addressed to Mir Mehedi Faruk; moc.liamg@6141.3azrutum

Received 2 March 2017; Accepted 3 May 2017; Published 13 July 2017

Academic Editor: George Siopsis

Copyright © 2017 Kazi Ashraful Alam and Mir Mehedi Faruk. 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 SCOAP3.

Abstract

Entropy bound for the photon gas in a noncommutative (NC) spacetime where phase space is with compact spatial momentum space, previously studied by Nozari et al., has been reexamined with the correct distribution function. While Nozari et al. have employed Maxwell-Boltzmann distribution function to investigate thermodynamic properties of photon gas, we have employed the correct distribution function, that is, Bose-Einstein distribution function. No such entropy bound is observed if Bose-Einstein distribution is employed to solve the partition function. As a result, the reported analogy between thermodynamics of photon gas in such NC spacetime and Bekenstein-Hawking entropy of black holes should be disregarded.