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

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.

7 pages, Typos corrected,changes made for clarity, removed a sentence, to appear in Europhysics Letters

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Cited by in corpus (25)

• Electrodynamics on $\kappa$-Minkowski space-time
• Generalized Poincare algebras, Hopf algebras and kappa-Minkowski spacetime
• Geodesic equation in $k$-Minkowski spacetime
• Newton's Equation on the kappa space-time and the Kepler problem
• K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist
• Twists, realizations and Hopf algebroid structure of kappa-deformed phase space
• Effects of Noncommutativity on the Black Hole Entropy
• Differential algebras on kappa-Minkowski space and action of the Lorentz algebra
• $\kappa$-Deformed Phase Space, Hopf Algebroid and Twisting
• Uniformly accelerating observer in $\kappa$-deformed space-time
• Gauge Theories on Deformed Spaces
• Kappa-deformation of phase space; generalized Poincare algebras and R-matrix
• Differential forms and k-Minkowski spacetime from extended twist
• Universal $\kappa$-Poincaré covariant differential calculus over $\kappa$-Minkowski space
• Implication of geodesic equation in Generalized Uncertainty Principle framework
• Uniformly accelerated detector in the $\kappa$-deformed Dirac vacuum
• Quantisation of Klein-Gordon field in $\kappa$ space-time: deformed oscillators and Unruh effect
• MICZ Kepler Systems in Noncommutative Space and Duality of Force Laws
• Maxwell's equations in the context of the Fock transformation and the magnetic monopole
• Exact form of Maxwell's equations and Dirac's magnetic monopole in Fock's nonlinear relativity
• Maximal acceleration in non-commutative space-time and its implications
• Quantisation of $\kappa$-deformed Dirac equation
• Maxwell's equations and Lorentz force in doubly special relativity
• Exact form of the generalized Lorentz force in Fock's nonlinear relativity
• The Majid-Ruegg model and the Planck scales