A generalized spin statistics theorem

TL;DR

This paper generalizes the spin statistics theorem, establishing a link between Fermi-Dirac statistics and invariance under SL(n,C), and discusses experimental evidence and spin entanglement implications.

Contribution

It introduces a generalized theorem connecting Fermi-Dirac statistics to SL(n,C) invariance, expanding the theoretical framework of quantum statistics.

Findings

States obeying Fermi-Dirac statistics are invariant under SL(n,C)

The generalized theorem broadens understanding of spin-statistics connection

Discussion of experimental evidence and spin entanglement

Abstract

In this article we generalize the spin statistics theorem and show that a state obeys Fermi-Dirac statistics if and only if the state is invariant under the action of $SL(n,C)$. We also briefly discuss the experimental evidence and how the theorem relates to spin entanglement.