A COMPARISON OF SOME EQUATIONS IN CLASSICAL, RELATIVISTIC AND RADIATIVE ELECTRODYNAMICS FOR A CHARGED PARTICLE (original) (raw)

A comparison of important equations is made in classical, relativistic and radiative electrodynamics. The main difference is emission of radiation. Motion of a charged particle, such as an electron, in an electric field, is treated under acceleration or deceleration or circular revolution. At low speeds, the equations of relativistic and radiative electrodynamics converge to classical electrodynamics. Equations of classical electrodynamics are incompatible with those of relativistic and radiative electrodynamics at high speeds near that of light. Equations of relativistic and radiative electrodynamics show agreement for accelerated electrons, but there is divergence for decelerated electrons. Considering aberration of electric field, equations of motion in radiative electrodynamics are derived for a charged particle moving up to the speed of light, with constant mass and emission of radiation. An equation for radiation power of an accelerated electron shows that revolution of an electron, round a central force of attraction, is stable, outside quantum mechanics. An extended equation for Coulomb's law is given, incorporating radiation and gravitation, to make the relativity and quantum theories unnecessary.

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