Maxwell's equations on the $\kappa$-Minkowski spacetime and Electric-Magnetic duality

TL;DR

This paper derives Maxwell's equations on $ppa$-deformed spacetime, demonstrating electric-magnetic duality as a symmetry and revealing mass-dependent differences in electrodynamics laws, with no $ppa$-corrections to Poincare angular momentum.

Contribution

It introduces Maxwell's equations on $ppa$-Minkowski spacetime up to first order in deformation, highlighting duality symmetry and mass-dependent effects in electrodynamics.

Findings

Electric-magnetic duality remains a symmetry in $ppa$-deformed spacetime.

Electrodynamics laws differ for particles with same charge but different masses.

No $ppa$-dependent corrections to Poincare angular momentum.

Abstract

We derive the Maxwell's equations on the $\kappa$-deformed spacetime, valid up to first order in the deformation parameter, using the Feynman's approach. We show that the electric-magnetic duality is a symmetry of these equations. It is also shown that the laws of electrodynamics are {\it different} for particles of equal charges, but with different masses. We show that the Poincare angular momentum, required to maintain the usual Lorentz algebra structure, do not get any $\kappa$-dependent corrections.