Lorentz transformation, Poincaré vectors and Poincaré sphere in various branches of physics

Abstract

In the frame of a generic language extended from the polarization theory-comprising the notions of Poincaré vectors, Poincaré sphere, and P-spheres-a geometric approach to Lorentz transformations alternative to theMinkowskian one is given. Unlike the four-dimensionalMinkowskian approach, this new approach operates in the three-dimensional space of Poincaré vectors.