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arXiv:1907.05412 [math-ph]AbstractReferencesReviewsResources

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

Jesús Muñoz-Díaz, Ricardo J. Alonso-Blanco

Published 2019-07-11Version 1

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.

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