{
  "annotation_id": "2d0f1b70-0493-47ff-8eae-9338a7662df7",
  "date_created": "2026-03-02T18:01:14.629000Z",
  "date_modified": "2026-03-02T18:01:14.629000Z",
  "file_hash": "e579dad90baf2d4dfce67c97e3f29af990937a2aa3008ca77f5b829df6af3b5d",
  "private": false,
  "record": {
    "abstract": "The complete charge-current density and field strength of an arbitrarily\naccelerated relativistic point-charge are explicitly calculated. That current\nincludes, apart from the well-established delta-function term which is\nsufficient for its global conservation, additional contributions depending on\nthe second and third proper-time derivatives of the position. These extra\ncontributions are necessary for the local conservation of that current, whose\ndivergence must vanish {identically} even if it is a distribution, as is the\ncase here. Similarly, the field strength includes an additional delta-like\ncontribution which is necessary for obtaining this result. Altogether, the\nLienard-Wiechert field and charge-current density must therefore be interpreted\nas nonlinear generalized functions, i.e., not just as distributions, even\nthough only linear operations are needed to verify local charge-current\nconservation.",
    "arxiv_id": "physics/0612090",
    "authors": [
      "Andre Gsponer"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "The locally-conserved current density of the Lienard-Wiechert field",
    "url": "https://arxiv.org/abs/physics/0612090"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "874fd7fa-e8cc-404e-b9fb-28d069f847c5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}