Contribution of the spin velocity to a case of magnetic levitation

Abstract

The concept of induced spin velocity is used to study a case of magnetic levitation in a device containing spinning and rotating magnets. Its background theory belongs to the geometry of curves in 3-dimensional Euclidean space and it is expressed in terms of the curvature and torsion of the trajectory. In the mechanical applications, spin velocity concept is useful, since spin velocities are induced in non-inertial frames and they transform using Galilean instead of Lorentz transformations. We describe a configuration of spinning and orbiting magnets similar to rolling bearings, and give conclusions about the electromotive force and the angular velocity, of the magnetized levitating parts.