{
  "annotation_id": "aa5bd550-d2b5-448b-8a93-c286f21b4381",
  "date_created": "2026-03-02T18:00:53.238000Z",
  "date_modified": "2026-03-02T18:00:53.238000Z",
  "file_hash": "a53875b9dd20e3607f2b3501fa56cf65052408accce78a618908033b57f97995",
  "private": false,
  "record": {
    "abstract": "We show that the image by the Lorentz transformation of a spherical\n(circular) light wave, emitted by a moving source, is not a spherical\n(circular) light wave but an ellipsoidal (elliptical) light wave. Poincare\u0027s\nellipsoid (ellipse) is the direct geometrical representation of Poincare\u0027s\nrelativity of simultaneity. Einstein\u0027s spheres (circles) are the direct\ngeometrical representation of Einstein\u0027s convention of synchronisation.\nPoincare adopts another convention for the definition of space-time units\ninvolving that the Lorentz transformation of an unit of length is directly\nproportional to Lorentz transformation of an unit of time. Poincare\u0027s\nrelativistic kinematics predicts both a dilation of time and an expansion of\nspace as well.",
    "arxiv_id": "physics/0411045",
    "authors": [
      "Dr. Yves Pierseaux"
    ],
    "categories": [
      "physics.class-ph",
      "physics.hist-ph"
    ],
    "journal_ref": "Annales de la Fondation Louis de Broglie, volume 30, n{\\deg}3-4,\n  2005",
    "title": "Special Relativity: Einstein\u0027s Spherical Waves versus Poincare\u0027s   Ellipsoidal Waves",
    "url": "https://arxiv.org/abs/physics/0411045"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c3d12843-f0f6-472c-a105-732de9f3ca65",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}