Derivation of Biot-Savart Law and Lorenz Force

Abstract

 

We have derived the empirical Biot-Savart law and Lorenz force based on Ether Dynamics. It turns out that the gravitational interaction propagates through a fluid space medium ether. A charged particle moving in ether causes it to move like a highly viscous and incompressible fluid. The movement of ether propagates thorough space, exerting a force on any encountered object moving in ether. Such is exactly the magnetic force. It has been shown that the magnetic field is linearly proportional to the local vorticity of ether caused by a moving charge, which produces all features of Biot-Savart law, including the inverse square law, the linear proportionality of the magnetic field on the velocity of the moving charge, and the sinusoidal dependence of magnetic field on the angle between the velocity and the displacement vector. The vorticity of fluid ether (the magnetic field) then exerts a force on any encountered moving charge, following exactly the law of Lorentz force.       

 

Key words: Biot-Savart Law, Lorentz force, ether dynamics.

PACS code: 04.50.kd; 05.50.-z; 04.20.cv