On the Origin of the Lorentz Force: The Second Term of “qv × B” in the Formulation of the Lorentz Force is due to a “Local” Electric Field Predicted by Maxwell’s Equations

Abstract

A novel approach to the origin of the second term in the Lorentz force is introduced according to which it is claimed that the said force is due to a local electric field predicted by Maxwell’s equations if, as an auxiliary assumption, every charged fundamental particle of finite size behaves as a perfect conductive material that persists in keeping its intrinsic magnetic field unchanged or behaves as a superconductive material that nullifies any internal magnetic field as the particle is subjected to any external magnetic field. That is, when, say, a charged particle moves through an external uniform magnetic field from left to right so that the velocity is always perpendicular to the magnetic field lines, the infinitesimal displacement of the particle in the distance ahead, along its velocity, and located very close to the right-hand side of the particle causes the external magnetic field to disappear in that very spatial dimensions which are now filled with the particle. On the contrary, the magnetic field appears in an infinitesimally small displacement at the back of the particle and very close to its left-hand side as it leaves the previously occupied space. This disappearance and appearance of the magnetic fields at, respectively, the right- and left-hand sides of the moving particle make some local electric fields appear, circulating the magnetic field lines. It is shown that this model for fundamental particles can predict a considerable portion of the Lorentz force which is thought-provoking. It is also thought-provoking why such a mechanism has been overlooked for nearly 130 years.