{
  "annotation_id": "84e3a02e-0bd0-43ba-b3f1-424d928a7d16",
  "date_created": "2026-03-02T18:00:53.352000Z",
  "date_modified": "2026-03-02T18:00:53.352000Z",
  "file_hash": "4a2e79099c0f84aa861b408660814a038389093dd975dc8d44b84214f1c45246",
  "private": false,
  "record": {
    "abstract": "Three related topics are discussed to show the \"simplicity, harmony and\nbeauty\" of the theory of special relativity (SR): (1) How can de\u0027Broglie\ndiscover his famous relation between the particle\u0027s momentum and a wave length\n-- a paradox stemming from the time dilatation effect of SR. (2) The\nrelativistic Doppler effect, especially the distinction between the transverse\nDoppler effect and the time dilatation effect. (3) Three particular examples\nare examined to derive the general mass-energy relation in SR by induction\nmethod.",
    "arxiv_id": "physics/0408047",
    "authors": [
      "Guang-jiong Ni"
    ],
    "categories": [
      "physics.ed-ph"
    ],
    "title": "de\u0027Broglie\u0027s paradox, relativistic Doppler effect, and the derivation of   mass-energy relation in special relativity",
    "url": "https://arxiv.org/abs/physics/0408047"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3bc21310-9fba-41d6-beae-44433365a84e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}