(Para)bosons, (para)fermions, quons and other beasts in the menagerie of particle statistics

TL;DR

This paper reviews various particle statistics, discusses experimental searches for exclusion principle violations, and explores theoretical frameworks that permit such violations, contributing to understanding fundamental particle behaviors.

Contribution

It provides a comprehensive overview of particle statistics, experimental efforts, and theories allowing exclusion principle violations, which is a novel synthesis in this context.

Findings

Experimental searches for exclusion principle violations have set new bounds.

Theoretical models that allow violations are discussed and analyzed.

The TCP theorem's implications for particle statistics are examined.

Abstract

After some general comments about statistics and the TCP theorem, I discuss experimental searches for violations of the exclusion principle and theories which allow for such violations.