Derivation of Biot-Savart Law and Lorenz Force and Unification of Gravitational and Electromagnetic Forces

We have derived the empirical Biot-Savart law and Lorenz force as well as the dynamic term of the gravitational force based on Ether Dynamics. The dynamic term of gravitation, together with the static term of Newton’s law of gravitation, allows unification of gravitational and electromagnetic forces. It turns out that the gravitational interaction propagates through a space medium ether. A moving object in ether is in direct contact with it, causing ether to move like a highly viscous and incompressible fluid. The movement of ether propagates thorough space following the laws of fluid dynamics, exerting a force on any object moving in ether. It has been shown that the magnetic field is linearly proportional to the local vorticity of ether, 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 ether (the magnetic field) then exerts a force on any moving charge in space, following exactly the law of Lorentz force. The vorticity of ether is responsible for the dynamic gravitation as well. The dynamic term of gravitation leads to a gravitational wave equation, solving the historical problem of action-at-distance.