{
  "annotation_id": "1e58423e-8776-455d-b5ad-0f99c8cdded1",
  "date_created": "2026-03-02T18:00:35.808000Z",
  "date_modified": "2026-03-02T18:00:35.808000Z",
  "file_hash": "c85fb6cb739c4367e1e3d6d9e951b2da3bc95cedebb9dae37b8ce7bcae2611ad",
  "private": false,
  "record": {
    "abstract": "An alternative (simplified) derivation of the dispersion relation and the\nexpressions for the momentum-energy 4-vector $p_i,p_0$ given initially in [1]\nis provided. It has turned out that in a rather \"pedestrian\" manner one can\nobtain in one stroke not only the above relations but also the correct\ndispersion relation in $\\omega-k_i$ space, consistent with the value of a\nvelocity of a massless particle. This is achieved by considering the standard\nLorentz algebra for $\\omega-k_i$-space. A non-uniqueness of the choice of the\ntime-derivative in the presence of the finite length scale is discussed. It is\nshown that such non-uniqueness does not affect the dispersion relation in\n$\\omega-k_i$-space. albeit results in different dispersion relations in\n$p-p_0$-space depending on the choice of the definition of the time derivative.",
    "arxiv_id": "physics/0108050",
    "authors": [
      "A. Granik"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "title": "A comment on the paper \"Deformed Boost Transformations that saturate at   the Planck Scale\" by N.B.Bruno,G.Amelino-Camelia, and J.Kowalski-Glikman",
    "url": "https://arxiv.org/abs/physics/0108050"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d0438b7e-c39e-4625-b3be-cfc7bc0b89c1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}