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 A3/4 law, while the entropy bound of infinite
statistics obeys the area law. This suggests a close relationship between
infinite statistics and quantum gravity.Comment: 5 pages, pubished versio