{
  "annotation_id": "e15acf0a-7ca9-4f85-ac4e-067246713d67",
  "date_created": "2026-03-02T18:00:46.099000Z",
  "date_modified": "2026-03-02T18:00:46.099000Z",
  "file_hash": "b7ed740783a409ac362dfad77a30cd9dc7e330db37965d4654fbf7dfeb33d077",
  "private": false,
  "record": {
    "abstract": "Introducing the primed inertial coordinate system, for each inertial frame of\nreference, in addition to the usual inertial coordinate system, we assume that\ngravity-free space and time possess the Euclidean structures in the primed\ninertial coordinate system and the generalized Finslerian structures in the\nusual inertial coordinate system. We combine these assumptions with two\nfundamental postulates, (i) the principle of relativity and (ii) the constancy\nof the speed of light in all inertial frames of reference, to derive the\nlocalized Lorentz transformation as a linear transformation between any two\nusual inertial coordinate systems. Based on this, it is proposed that all laws\nof physics are locally Lorentz-invariant in the usual inertial coordinate\nsystem. As a Lorentz-invariant law of physics must be locally Lorentz-invariant\nwhile a locally Lorentz-invariant law is not necessarily Lorentz-invariant, the\nchange from the requirement of Lorentz invariance to that of the local Lorentz\ninvariance on laws of physics provides with a larger acceptable scope to\nexplore these laws.",
    "arxiv_id": "physics/0307041",
    "authors": [
      "Jian-Miin Liu"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "title": "Localization of Lorentz transformation and its induced local Lorentz   invariance",
    "url": "https://arxiv.org/abs/physics/0307041"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8ea83854-c281-413a-b6a5-71fc816b3471",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}