{
  "annotation_id": "86163ee5-6cb0-4879-bd77-32afe542d60f",
  "date_created": "2026-03-02T18:00:46.660000Z",
  "date_modified": "2026-03-02T18:00:46.660000Z",
  "file_hash": "5b20511c1acf36c470f3b7bc57c9499030c4b46bb144a0133c1d08a9830863aa",
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  "record": {
    "abstract": "According to Einstein, the trajectory of a particle that is predicted by\nspecial relativistic mechanics is well approximated by the trajectory predicted\nby Newtonian mechanics if the particle speed is low, i.e., much less than the\nspeed of light. However, in this paper, it is shown with a counterexample\nHamiltonian dynamical system that Newtonian dynamics can eventually disagree\ncompletely with relativistic dynamics even though the particle speed is low.\nAfter the breakdown of the agreement, either the Newtonian description is no\nlonger correct or the relativistic description is no longer correct or both\ndescriptions are no longer correct for the low speed motion.",
    "arxiv_id": "physics/0306190",
    "authors": [
      "Boon Leong Lan"
    ],
    "categories": [
      "physics.class-ph",
      "gr-qc",
      "nlin.CD"
    ],
    "doi": "10.1063/1.2218379",
    "journal_ref": "Chaos 16 (2006) 033107",
    "title": "Einstein was Wrong: Newtonian Dynamics Can Disagree Completely with   Relativistic Dynamics at Low Speed",
    "url": "https://arxiv.org/abs/physics/0306190"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "210ddb6b-e604-448e-a4c1-f7d364ff69ae",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}