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

## TL;DR

This paper derives extended Maxwell's equations and the Lorentz force in R-Minkowski space-time using a generalized Feynman approach, revealing the emergence of magnetic monopoles through algebraic modifications.

## Contribution

It introduces a new formulation of Maxwell's equations in R-Minkowski space-time and connects algebraic modifications to magnetic monopoles.

## Key findings

- Extended Maxwell's equations in R-Minkowski space-time
- Derivation of Lorentz force in the deformed space
- Magnetic monopoles emerge from algebraic modifications

## 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.