{
  "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"
    }
  }
}