The groups of Poincaré and Galilei in arbitrary dimensional spaces (original) (raw)

This study explores the interrelation between the Poincare and Galilei groups in arbitrary dimensional spaces, highlighting the mathematical structure that allows the Galilei group to be viewed as a subgroup of the Poincare group. It discusses the transition from a Galilean framework to a relativistic one using light-cone transformations and addresses the implications of these connections for theoretical physics. The work aims to generalize existing transformations and offers insights into the underlying algebraic structures, ultimately suggesting that the choice of invariance group is not as pivotal as traditionally believed.