{
  "annotation_id": "32afe0f7-c50b-42fa-9903-b960f534fbce",
  "date_created": "2026-03-02T18:00:43.005000Z",
  "date_modified": "2026-03-02T18:00:43.005000Z",
  "file_hash": "91e9a55ea0ab2a5a58c5bd9253245a879b7770978a1709dd7a0dec0cc8ae8c18",
  "private": false,
  "record": {
    "abstract": "In this paper it is exactly proved by using the Clifford algebra formalism\nthat the standard transformations of the three-dimensional (3D) vectors of the\nelectric and magnetic fields E and B are not the Lorentz transformations of\nwell-defined quantities from the 4D spacetime but the \u0027apparent\u0027\ntransformations of the 3D quantities. Thence the usual Maxwell equations with\nthe 3D E and B are not in agreement with special relativity. The 1-vectors E\nand B, as well-defined 4D quantities, are introduced instead of ill-defined 3D\nE and B.",
    "arxiv_id": "physics/0304085",
    "authors": [
      "Tomislav Ivezic"
    ],
    "categories": [
      "physics.gen-ph",
      "physics.class-ph"
    ],
    "doi": "10.1023/A:1025645428575",
    "title": "The Proof that the Standard Transformations of E and B are not the   Lorentz Transformations. Clifford Algebra Formalism",
    "url": "https://arxiv.org/abs/physics/0304085"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "181f5c2c-61bd-4d32-89e2-d2fb6123e286",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}