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A mathematical objection to the existence of relativistic mechanical systems of several particles
Jesús Muñoz-Díaz, Ricardo J. Alonso-Blanco
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 lead…
math-ph2018
Newton's Second Law in Field Theory
Ricardo J. Alonso-Blanco, Jesús Muñoz-Díaz
In this article we present a natural generalization of Newton's Second Law valid in field theory, i.e., when the parameterized curves are replaced by parameterized submanifolds of…