Electrodynamic Paradigm of Antisymmetric Mechanical Lorentz Momentum Tensor

Abstract

Antisymmetric mechanical Lorentz force tensor  contains Newton’s second law of motion F = ma as temporal component [1]. This naturally implies that Newton’s first law of motion P = mv is the temporal component of antisymmetric mechanical Lorentz momentum tensor  whose spatial component is Coriolis momentum m. In this way, we have complete framework of mechanical momentum electrodynamics that obeys principle of relativity, conservation law and symmetry. This model contains Newton’s first and 2^nd law of motion and action and reaction concept.  In this paper, we shall present the basic framework of mechanical model of momentum electrodynamics with its dual formulation. The transformation of Lorentz momentum tensor in noninertial coordinate metric based on single transformation law (STL) for 4-vectors and tensors predicts the zero-point origin of Plank’s constant, angular momentum and 7D wave of Plank’s constant in conservation law. Matrix method and Einstein convention method are employed where matrix method gives zero conservation and Einstein method predicts 7D wave supplemented with conservation law. As a consequence, antisymmetric electromagnetic Lorentz momentum dynamics and antisymmetric gravitational momentum dynamics will be directly mentioned to avoid repetition of calculations. These are the marvelous achievements in the field of relativistic dynamics.