Electrodynamics in Fock–Lorentz linear fractional relativity

Abstract

In this paper, we have explored the effect of Fock–Lorentz linear fractional relativity on the electrodynamics laws, where the radius of universe [Formula: see text] emerges as a consequence in the new formulation of Fock’s transformation. By employing the Dirac Hamiltonian analysis scheme, we have studied the case of the free particle, as well as the charged particle in presence of an external electromagnetic field in the new deformed phase space “[Formula: see text]-Minkowski.” The Lorentz force is obtained up to the first-order [Formula: see text]. Furthermore, we have discussed the modified form of Leinard–Wiechart potentials.