{
  "annotation_id": "c1e49a3b-bc62-4ec9-9c47-7d7617b9ebdd",
  "date_created": "2026-03-02T18:01:00.712000Z",
  "date_modified": "2026-03-02T18:01:00.712000Z",
  "file_hash": "dfbe389b2e34a882bcb1fbf5fe8054c358999dd9427f3423ec4fb724ba24aa2e",
  "private": false,
  "record": {
    "abstract": "In special relativity, spacetime algebra (STA) provides a powerful and\ninsightful approach to an invariant formulation of physics. However, in this\ngeometric algebra of spacetime, relativistic physics is usually considered a\nmisnomer: STA provides us with an invariant (coordinate-free) formulation and\nhence it seems that (passive) Lorentz transformations are misplaced. However,\nin order to interpret experimental results, it is important to relate invariant\nphysical quantities to some reference frame. In this paper, passive Lorentz\ntransformations are derived using STA but without the second postulate on the\nspeed of light used by Einstein. This derivation sheds light on the physical\nbackground of STA and, at the same time, clarifies Lorentz transformations in\nthe proper setting of (Minkowski) four-dimensional spacetime.",
    "arxiv_id": "physics/0508225",
    "authors": [
      "Carlos R. Paiva"
    ],
    "categories": [
      "physics.ed-ph",
      "physics.class-ph"
    ],
    "title": "Passive Lorentz transformations with spacetime algebra",
    "url": "https://arxiv.org/abs/physics/0508225"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "089522be-b932-4235-a5cd-8af9e41caf75",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}