Three types of statistics and the entropy bounds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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5 pages, pubished version

Scientific paper

10.1016/j.physletb.2011.05.039

We investigated the entropy bounds of the three types of statistics: para-Bose, para-Fermi and infinite statistics. We showed that the entropy bounds of the conventional Bose, Fermi statistics and their generalizations to parastatistics obey the $A^{3/4}$ law, while the entropy bound of infinite statistics obeys the area law. This suggests a close relationship between infinite statistics and quantum gravity.

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