Three types of statistics and the entropy bounds

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.

5 pages, pubished version

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Cited by in corpus (3)

• Crossing the phantom divide line in the Holographic dark energy model in a closed universe
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• Towards a holographic theory of cosmology -- threads in a tapestry