Force in Kappa-Deformed Relativistic Dynamics

TL;DR

This paper explores the effects of different momentum bases in kappa-deformed Poincare algebra, revealing unusual velocity behaviors and examining particle dynamics under constant force within this framework.

Contribution

It introduces the analysis of velocity and dynamics in kappa-deformed relativistic systems, highlighting the impact of basis choices on physical predictions.

Findings

Energy-dependent velocity leads to unexpected kinematic features

Kappa-deformed dynamics differ from classical relativistic dynamics

Motion under constant force illustrates unique kappa-deformed effects

Abstract

We consider the physical implications of various choices of the three-momentum basis in the kappa-deformed Poincare algebra. In particular, we find that the energy dependence of the velocity of a kappa-particle leads to unexpected features in kappa-deformed kinematics. We also discuss the notion of kappa-deformed dynamics, and as a tool example we investigate the motion of a kappa-deformed particle under the action of a constant force.