Demystifying the Lorentz Force Equation

The Lorentz force equation F = q(E + v × B), which has been used by the engineering community since early 20th century to control motion of electrons on free trajectories, in a wide range technical applications, is generalized that was originally developed Hendrik Antoon at beginning century, and treats, single formulation, two very different aspects behavior free-moving electrons. This article aims put into perspective historical context developed, clarify how its can be clearly separated for practical computational purposes fundamental research physics, help reconcile classical/relativistic mechanics quantum with electromagnetism, particular first term related gravitation while second measurable mass from electromagnetic perspective.