{
  "annotation_id": "2789a85b-f857-4e86-a005-01a8aa9f3d31",
  "date_created": "2026-03-02T18:01:17.709000Z",
  "date_modified": "2026-03-02T18:01:17.709000Z",
  "file_hash": "4649ca93062954d752f6c2433175419c19e8e0388e74903cf055eadf4eaf8dcc",
  "private": false,
  "record": {
    "abstract": "We show that the Lorentz transformations for the space-time coordinates of\nthe same event are a direct consequence of the principle of relativity and of\nEinstein\u0027s distant clocks synchronization procedure. In our approach, imposing\nthe linear character of the Lorentz transformations we guess that the\ntransformation equation for the space coordinate has the form x=ax\u0027+cbt\u0027.\nImposing the condition that it accounts for the time dilation relativistic\neffect and taking into account the fact that due to the clock synchronization a\nla Einstein the space-time coordinates of the same event in the two frames are\nrelated by x=ct and x\u0027=ct\u0027, we find out expressions for a and b. Dividing the\ntransformation equation for the space coordinate by c we obtain the\ntransformation equation for the time coordinate t=at\u0027+b/cx\u0027. Combining the two\ntransformation equations we obtain directly the inverse Lorentz\ntransformations.",
    "arxiv_id": "physics/0702157",
    "authors": [
      "Bernhard Rothenstein",
      "Stefan Popescu"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "title": "Lorentz transformations: Einstein\u0027s derivation simplified",
    "url": "https://arxiv.org/abs/physics/0702157"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b49beccd-938c-42f2-9aad-0c215cff1ce7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}