Infinite Speed of Light and Compton Scattering

It has been theoretically demonstrated by the author in past work that when a charge density starts an arbitrary motion abruptly in time an infinite speed of light c will commence along with emergence of a magnetic charge. In another paper presented at the present PIERS we show that an infinite c exists even with a current density vector motion which starts continuously in time provided that charge density is a noncausal function and is nonzero at the instant of inception of the motion. In other words, causality of the current density vector is sufficient to obtain this effect. One outcome of the infinite speed of light finding is the exclusion of an ultraviolet catastrophe in the black body radiation problem. This removes the need for an energy discretization. This result is presented by the author in a third paper at the present PIERS. Therefore, in the present work we attempt to model the Compton effect with an infinite speed of light perspective. Thus, regardless of whether the recoiled electron starts a motion which is temporally continuous or abrupt at t = 0 we suppose that speed of light is infinite for the wave emitted by the electron. By also accounting for the emerging magnetic charge which we know accompanies an infinite c, a classical electromagnetic field structure is proposed for the effect. The principle of conservation of energy is used to derive a relation for the scattering angle. The auxiliary relation involving the angle of recoil for the electron (and the magnetic charge) is assumed to be true and the derived relation is solved for the scattering angle using the Newton-Raphson method. Comparison with the scattering angle obtained by the discretization of energy approach shows good agreement for recoiled electron velocities of up to 2×10
⁷
m/s. It is concluded that classical electromagnetic theory with an infinite speed of light assumption can model the Compton effect.