{
  "annotation_id": "258fddf2-ebea-44ca-a2c9-3a8cb868a626",
  "date_created": "2026-03-02T18:01:04.354000Z",
  "date_modified": "2026-03-02T18:01:04.354000Z",
  "file_hash": "43a035b61046ac33c5ade7fb6a37ed0cd60044ad6309cc096be2df0f40f55b2b",
  "private": false,
  "record": {
    "abstract": "Using spacetime algebra, the geometric algebra of spacetime, the general\nproblem of relativistic addition of velocities is addressed. The successive\napplication of non-collinear Lorentz boosts is then studied in Minkowski\nspacetime. Even spatial vectors, such as the relative velocity of two reference\nframes, are analyzed in their proper setting: as vectors belonging to a\nfour-dimensional spacetime manifold and not as vectors in ordinary\nthree-dimensional (Euclidean) space. This is a clear and physical result that\nillustrates the fact that Lorentz boosts do not form a group. The entire\nderivation is carried through without using the second postulate on the speed\nof light, thereby stressing that the framework of special relativity does not\ndepend on electromagnetism.",
    "arxiv_id": "physics/0511247",
    "authors": [
      "Carlos R. Paiva",
      "Marco A. Ribeiro"
    ],
    "categories": [
      "physics.class-ph",
      "physics.ed-ph"
    ],
    "title": "Generalized relativistic velocity addition with spacetime algebra",
    "url": "https://arxiv.org/abs/physics/0511247"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5a1a6dc4-f3cb-4d0a-893e-538715894438",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}