Braided Statistics from Abelian Twist in $\kappa$-Minkowski Spacetime

TL;DR

This paper constructs a braided statistics framework in $$-Minkowski spacetime using abelian twist deformation, revealing that the equal-time commutator function vanishes within this approach.

Contribution

It introduces a novel braided statistics formulation based on abelian twist deformation in $$-Minkowski spacetime, connecting quantum operators with universal $R$-matrix.

Findings

The $$-deformed commutation relation is explicitly constructed.

The universal $R$-matrix satisfies braided statistics.

The equal-time commutator function vanishes in this framework.

Abstract

$\kappa$-deformed commutation relation between quantum operators is constructed via abelian twist deformation in $\kappa$-Minkowski spacetime. The commutation relation is written in terms of universal $R$-matrix satisfying braided statistics. The equal-time commutator function turns out to vanish in this framework.