Relativistic Systems of Interacting Particles

Abstract

A multitemporal non-hereditary formulation of relativistic dynamics is given. According to it, a dynamical system of N particles involves some realization of the N-parameter abelian group. The usual concept of flow is replaced by more general tools coming from bitensor calculus. The basic axioms of the theory are expressed in terms of partial differential equations and a non-trivial solution is exhibited.