Antisymmetric Electromagnetic Lorentz Force Tensor Formulation of Electrodynamics

Resumo

The usual Lorentz force q[E+] predicts an independent structure of electrodynamics in terms of electric force and magnetic force. As electric field E and magnetic field B are the building blocks of antisymmetric second rank electromagnetic field tensor . Correspondingly, electric force qE and magnetic force q are the building blocks of antisymmetric second rank electromagnetic force tensor . In other words, Lorentz force is a tensorial force by birth. A new type of electrodynamics is emerged that possesses the same structure as standard Maxwell’s theory such that electrodynamical laws are now force laws. It obeys principle of relativity, conservation law and symmetry. We designate this model as Lorentz force electrodynamics (LFE). Matrix method is employed in tensor notation. The model consists of force field equations, Lorentz force Maxwell’s equations, conservation law, 4D waves of electric force and magnetic force. Similarly, dual of LFE is worked out. Conservation law is valid in both cases. This model is expected to facilitate electrical, electronic, mechanical, space engineers, theoretical physicists in the study of astrophysics, cosmology, magnetohydrodynamics etc.