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 the Minkowskian one is given. Unlike the four-dimensional Minkowskian approach, this new approach operates in the three-dimensional space of Poincaré vectors.

Keywords

• Lorentz transformations
• Poincaré vectors
• Poincaré sphere