Maxwell's equations in the context of the Fock transformation and the magnetic monopole

Abstract

In the R-Minkowski space-time, which we recently defined from an appropriate deformed Poisson brackets that reproduce the Fock coordinate transformation, we derive an extended form for Maxwell's equations by using a generalized version of Feynman's approach. Also, we establish in this context the Lorentz force. As in deformed special relativity, modifying the angular momentum in such a way as to restore the R-Lorentz algebra generates the magnetic Dirac monopole.

References in corpus (1)

• Deformed Special Relativity and Deformed Symmetries in a Canonical Framework

Cited by in corpus (4)

• Influence of the dispersion relation on the Unruh effect according to the relativistic Doppler shift method
• Exact form of Maxwell's equations and Dirac's magnetic monopole in Fock's nonlinear relativity
• Maxwell's equations and Lorentz force in doubly special relativity
• Exact form of the generalized Lorentz force in Fock's nonlinear relativity