Ternary algebras with braided statistics
Azzouz Zinoun

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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons
