{
"id": "1907.05412",
"version": "v1",
"published": "2019-07-11T17:56:44.000Z",
"updated": "2019-07-11T17:56:44.000Z",
"title": "A mathematical objection to the existence of relativistic mechanical systems of several particles",
"authors": [
"Jesús Muñoz-Díaz",
"Ricardo J. Alonso-Blanco"
],
"categories": [
"math-ph",
"gr-qc",
"math.MP"
],
"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.",
"revisions": [
{
"version": "v1",
"updated": "2019-07-11T17:56:44.000Z"
}
],
"analyses": {
"subjects": [
"83Axx"
],
"keywords": [
"relativistic mechanical systems",
"mathematical objection",
"second order differential equation",
"mechanical system defines",
"relativistic trajectories"
],
"note": {
"typesetting": "TeX",
"pages": 0,
"language": "en",
"license": "arXiv",
"status": "editable"
}
}
}