Three types of statistics and the entropy bounds
Yong Xiao, Yi-Xin Chen
TL;DR
This paper explores entropy bounds for different quantum statistics, revealing that infinite statistics obeys an area law similar to quantum gravity, unlike Bose and Fermi statistics which follow an $A^{3/4}$ law.
Contribution
It demonstrates that infinite statistics uniquely obeys an area law for entropy bounds, suggesting a connection to quantum gravity not seen in Bose and Fermi statistics.
Findings
Bose, Fermi, and parastatistics follow an $A^{3/4}$ entropy law.
Infinite statistics obeys an area law for entropy bounds.
Indicates a potential link between infinite statistics and quantum gravity.
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 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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