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 or uncharged object moving in fluid ether causes ether to move like a highly viscous and incompressible fluid. The movement of fluid ether propagates thorough space following the laws of fluid dynamics, exerting a force on any encountered object moving in ether. Such is the magnetic force for the charged objects. 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 dependence 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 in space, 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