{
  "annotation_id": "4998d04e-fa55-41e2-950a-f98fbecfdde0",
  "date_created": "2026-03-02T18:00:57.179000Z",
  "date_modified": "2026-03-02T18:00:57.179000Z",
  "file_hash": "e5bcb66d093765274b9561a6f281c6cc1d0469568d793af6df2bab06f6cac1b1",
  "private": false,
  "record": {
    "abstract": "We analyze the transformation properties of Faraday law in an empty space and\nits relationship with Maxwell equations. In our analysis we express the Faraday\nlaw via the four-potential of electromagnetic field and the field of\nfour-velocity, defined on a circuit under its deforming motion. The obtained\nequations show one more facet of the physical meaning of electromagnetic\npotentials, where the motional and transformer parts of the flux rule are\nincorporated into a common phenomenon, reflecting the dependence of\nfour-potential on spatial and time coordinates, correspondingly. It has been\nexplicitly shown that for filamentary closed deforming circuit the flux rule is\nLorentz-invariant. At the same time, analyzing a transformation of e.m.f., we\nrevealed a controversy: due to causal requirements, the e.m.f. should be the\nvalue of fixed sign, whereas the Lorentz invariance of flux rule admits the\ncases, where the e.m.f. might change its sign for different inertial observers.\nPossible resolutions of this controversy are discussed.",
    "arxiv_id": "physics/0504223",
    "authors": [
      "Alexander L Kholmetskii",
      "Oleg V. Missevitch"
    ],
    "categories": [
      "physics.class-ph",
      "physics.gen-ph"
    ],
    "title": "The Faraday induction law in relativity theory",
    "url": "https://arxiv.org/abs/physics/0504223"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8dc5eff4-cfcb-4b47-a389-27c6a71eb4f1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}