Posts

Instantaneous electromagnetic interactions

Image
Newton introduced a model of instantaneous direct interactions among massive particles. This model was latter replicated by Coulomb for charged particles and became known as action-at-a-distance; an unfortunate name has generated unending polemics among physicists and philosophers. A better name is direct-particle-interaction. Maxwell electrodynamics and general relativity introduced an alternative model of contact-action, where particles do not interact directly but by means of signals traveling through a mediator. Since the maximum possible speed for any object is the speed of light, interactions are retarded in contact-action models. Althought the Newton and Coulomb models are only valid for low velocities, it is proven that retarded interactions can be derived as approximations to generalized instantaneous interactions beyond Newton and Coulomb. Simple derivation of Lienard & Wiechert potentials We will start with the next instantaneous scalar and vector potentials asso