Special Relativity and Its Newtonian Limit from a Group Theoretical Perspective

In this pedagogical article, we explore a powerful language for describing the notion of spacetime and particle dynamics intrinsic to given fundamental physical theory, focusing on special relativity its Newtonian limit. The starting point formulation is representations symmetries. Moreover, that seriously furnishes—via symmetry contractions—a natural way in which one can understand how theory arises as an approximation Einstein’s theory. We begin with Poincaré underlying nature Minkowski coset representation space algebra group. Then, proceed parallel phase spin zero particle, relation present full scheme under Hamiltonian formulation, illustrating essentially feature geometry. Lastly, reduction all space-time, space, appropriate contraction presented. While notions involved are well established, systematic presentation story coherent picture fills gap literature subject matter.