Ternary algebras with braided statistics

TL;DR

This paper introduces para-algebras, a new algebraic framework that unifies various quantum statistics such as Bose-Einstein, Fermi-Dirac, and anyonic statistics, through algebraic relations.

Contribution

It proposes para-algebras as a novel algebraic structure to characterize diverse quantum statistics in a unified way.

Findings

Reformulation of quantum statistics using para-algebras

Unified algebraic framework for different quantum statistics

Potential applications in quantum physics and algebraic structures

Abstract

Algebraic relations that characterize quantum statistics (Bose-Einstein statistic, Fermi-Dirac statistic, supersymmetry, parastatistic, anyonic statistic, ...) are reformulated herein in terms of a new algebraic structure, which we call para-algebra.