A mathematical objection to the existence of relativistic mechanical systems of several particles

Abstract

We will prove that, in general, a system formed by several particles moving along relativistic trajectories can not be described by a mechanical system. The contradiction that leads to the previous assertion is due to the fact that a mechanical system defines a second order differential equation and this, in turn, induces an absolute time that will generally be incompatible with the proper times of the different particles.

References in corpus (1)

• Relativistic forces in Lagangian mechanics

Cited by in corpus (1)

• Classical and relativistic fluids as intermediate integrals of finite dimensional mechanical systems