{
  "annotation_id": "55f8141f-a97a-4819-83e6-0e7045d56311",
  "date_created": "2026-03-02T18:01:06.808000Z",
  "date_modified": "2026-03-02T18:01:06.808000Z",
  "file_hash": "1e0194716b040e8908e4da1ca25e0c47d97eef3465abcb12cfe05c33ee50e913",
  "private": false,
  "record": {
    "abstract": "A special case of the relativistic Doppler effect, which occurs when light\nreflects from a moving mirror, is discussed. The classic formula for the\nDoppler shift is derived in a fully non-relativistic fashion using basic facts\nfrom geometry. The derivation does not involve Lorentz transformations, length\ncontractions and time dilations, and therefore is conceptually simpler than the\nstandard derivations in physics textbooks. This discussion can be useful for\nteaching introductory physics and also for understanding the foundations of\nspecial relativity.",
    "arxiv_id": "physics/0605100",
    "authors": [
      "Malik Rakhmanov"
    ],
    "categories": [
      "physics.ed-ph",
      "physics.gen-ph"
    ],
    "title": "Reflection of light from a moving mirror: derivation of the relativistic   Doppler formula without Lorentz transformations",
    "url": "https://arxiv.org/abs/physics/0605100"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "93a2d673-8e3e-4bc3-9469-1e829ca271b5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}