Three types of statistics and the entropy bounds

Yi-Xin Chen; Yong Xiao

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Three types of statistics and the entropy bounds

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arxiv 0812.3466 v3 pith:HRAXJVHT submitted 2008-12-18 hep-th gr-qc

Yong Xiao , Yi-Xin Chen This is my paper

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keywords statisticsentropyboundsinfinitethreetypesareabose

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abstract

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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