A spacetime realization of kappa-Poincare algebra

TL;DR

This paper presents a Hamiltonian framework for kappa-Poincare algebra, defining velocity, spacetime transformations, and an invariant metric, with implications for experimental physics.

Contribution

It introduces a Hamiltonian realization of kappa-Poincare phase space, enabling consistent velocity definitions and spacetime transformations under deformed Lorentz symmetry.

Findings

Defined velocity consistent with deformed Lorentz symmetry

Derived transformation laws for spacetime coordinates

Proposed an invariant spacetime metric

Abstract

We study a Hamiltonian realization of the phase space of kappa-Poincare algebra that yields a definition of velocity consistent with the deformed Lorentz symmetry. We are also able to determine the laws of transformation of spacetime coordinates and to define an invariant spacetime metric, and discuss some possible experimental consequences.