Novel Electromagnetics and Novel Gravitation --- Created by Sources Moving at Either Uniform Velocity, or Constant Acceleration, or Continuous Spin, Respectively

Abstract

In this article, we show that the vector calculus identities are powerful tool in both rederiving the existing physical laws, such as Maxwell equations, and discovering new physical laws. First, we show that the following electromagnetic laws can be rederived from the vector calculus identities: (1) Poynting's Theorem; (2) Gauss's Law for Magnetism; (3) Charge density Continuity equation; (4) Wave equation of potential A, electric field E, and magnetic field B; (5) Faraday's Law of Induction; (6) energy density of the magnetic field; (7) time change of energy density of the electric field; (8) time change of energy density of the magnetic field. To rederive the above physical laws (1) to (8) shows the validation and power of the vector calculus identities in discovering physical laws. Then, applying the vector calculus identities, we derive NEW physical field equations: (1) novel electromagnetics for electric charges moving with either uniform velocity v, or constant acceleration a, or continuous spin S; (2) novel gravitation for gravitational charges (mass) moving with either uniform velocity v, or constant acceleration a, or continuous spin S. Science the novel and complete Electromagnetics and the novel gravitation are derived from the same vector calculus identities and thus, both have the same form, and can be unified. The novel electromagnetics and novel gravitation need to be tested experimentally.