三类统计量与熵界
Three types of statistics and the entropy bounds
摘要：
我们研究了三种统计量的熵界：para-Bose统计量，para-Fermi统计量和无穷统计量。我们证明了传统玻色统计、费米统计及其推广到超统计的熵界服从$A^{3/4}$定律，而无穷统计的熵界服从面积定律.这暗示了无穷统计和量子引力之间的密切关系。
英文摘要：
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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