Quantized Maxwell's equations

A set of quantized modified Maxwell's equations in charge-free medium has been derived. The quantized electrodynamics is found to be associated with massive Lorenz gauge condition. A massive gauge transformation is introduced under which the quantized electrodynamics is invariant. The resulting wave equations are that of the undistorted telegraph equation type. They represent damped oscillatory waves propagating to the left and right with the speed of light. Special solutions with vanishing magnetic field are shown to give rise to longitudinal waves accompanying a scalar magnetic field, parallel and antiparallel to the electric field direction. Moreover, an electric energy is found to be lost by the traveling wave in the medium in which it is propagating. A static electric field produces huge amounts of magnetic scalar gradients with negative potential. Additional huge current and voltage are generated that are not accounted by the Maxwell's theory.