An Alternative Electrodynamics to the Theory of Special Relativity

von Musa D. Abdullahi

An Alternative Electrodynamics to the Theory of Special Relativity
Musa D. Abdullahi

2013, 20th Natural Philosophy Alliance Conference, College Park, MD, United States 

Abstract:
For an electron of mass m and charge –e moving at time t with velocity v and acceleration dv/dt in an electric field of magnitude E, the accelerating force is proposed, in accordance with Newton’s second law of motion, as F = eE(cv)/c = m(dv/dt). The
vector c is the velocity of light and (cv) is the relative velocity of the electrostatic force with respect to the moving electron. The electron may move in a straight line to reach the limiting speed c with F reducing to 0, or it can revolve in a circle at constant speed. The relativistic mass-velocity formula is shown to be correct for circular revolution only and that the “mass” in that formula is not a physical quantity but the ratio of electrostatic force (–eE) to centripetal acceleration (–v2/r) in a circle of radius r. This ratio can become infinitely large for motion in a circle of infinite radius, which is a straight line. An alternative electrodynamics is developed for an electron accelerated to the speed of light at constant mass and with emission of radiation. Radiation occurs if there is a change in the energy of an electron and, as such, circular revolution of an electron, round a central force of attraction, is made stable without recourse to quantum mechanics.

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