{
  "annotation_id": "7c70927b-c9d2-4e88-b180-e6308994982f",
  "date_created": "2026-03-02T18:00:42.159000Z",
  "date_modified": "2026-03-02T18:00:42.159000Z",
  "file_hash": "ac63388dfa3790c04b924984d41db115b447d050670573ebb7a147bbfa8afc7c",
  "private": false,
  "record": {
    "abstract": "It is now wellknown that Maxwell equations admit of wavelet-type solutions\nendowed with arbitrary group-velocities (0 \u003c v_g \u003c infinity). Some of them,\nwhich are rigidly moving and have been called localized solutions, attracted\nlarge attention. In particular, much work has been done with regard to the\nSuperluminal localized solutions (SLS), the most interesting of which resulted\nto be the \"X-shaped\" ones. The SLSs have been actually produced in a number of\nexperiments, always by suitable interference of ordinary-speed waves. In this\nnote we show, by contrast, that even a Superluminal charge creates an\nelectromagnetic X-shaped wave. Namely, on the basis of Maxwell equations, we\nare able to evaluate the field associated with a Superluminal charge (under the\napproximation of pointlikeness): and it results to constitute a very simple\nexample of true X-wave. [PACS nos.: 03.50.De; 03.30.+p; 41.20;Jb; 04.30.Db.\nKeywords: Special relativity; Maxwell equations; Superluminal waves; X-shaped\nwaves; Localized beams; Wave propagation; Superluminal charges].",
    "arxiv_id": "physics/0210047",
    "authors": [
      "Erasmo Recami",
      "M. Zamboni-Rached",
      "Cesar A. Dartora",
      "K. Z. Nobrega"
    ],
    "categories": [
      "physics.class-ph",
      "physics.gen-ph"
    ],
    "doi": "10.1103/PhysRevE.69.027602",
    "journal_ref": "Physical Review E69 (2004) 027602",
    "title": "The X-shaped, localized field generated by a Superluminal electric   charge",
    "url": "https://arxiv.org/abs/physics/0210047"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7c466f0e-8765-4b1a-8e58-e60a6055f66a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}