**Author:**

Abdullahi, Musa Daji

**Category:**

Research Papers

**Sub-Category:**

Mechanics / Electrodynamics

**Date Published:**

May 29, 2018

**Keywords:**

Keywords: Aberration of electric field, aether, circular motion, electric charge, electric field, force, gravity, mass, radiation, special relativity, speed, velocity.

**Abstract:**

The law enunciated by Charles Coulomb, in 1784, giving force of repulsion or attraction between two charges, is the most important principle in physics. However, this law is not complete as it does not include force of gravity between charged particles and does not incorporate radiation from accelerated charged particles. This paper proposes an extension of Coulomb’s law by adding a term for gravitation and invoking aberration of electric field to incorporate radiation. It gives an extended law where accelerating force depends on velocity in an electric field. The law is applicable to a charged particle, accelerated by an electric field, to the speed of light, with emission of radiation and constant mass, contrary to the theory of special relativity. It is found the relativistic mass-velocity formula is correct in circular motion and Lorentz factor is the result of a charged particle moving perpendicular to an electric field. It is shown that relativistic mass is not a physical quantity but the ratio of electrostatic force to acceleration, in circular motion, which becomes infinitely large for motion in a straight line. An important outcome of the paper is showing that Rutherford’s nuclear model of the hydrogen atom is stable outside quantum mechanics. The property of aether, as a balanced electric field medium for gravitation and radiation, is identified.

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