{
  "annotation_id": "0343e7c9-8ca5-46af-85bd-639ae4d22b42",
  "date_created": "2026-03-02T18:00:43.532000Z",
  "date_modified": "2026-03-02T18:00:43.532000Z",
  "file_hash": "b1052953255730073b57a4e2da12c90c915a53c3952f4e19f9e8d8b2e007c287",
  "private": false,
  "record": {
    "abstract": "It is shown that if we can define a physical quantity with proper character\nin a given inertial reference frame (kinematic, dynamic, electromagnetic in its\nnature) which transforms when detected from a reference frame relative to which\nit moves with velocity $u_x$ as $F=\\f{F^o}{\\sqrt{1-\\f{u_x^2}{c^2}}}$ then we\ncan derive for it transformation equations following one and the same\nprocedure, which involves the addition law of relativistic velocities which can\nbe derived without using the Lorentz transformations. The transformation\nequation derived that way, generates the physical quantities $u_xF$ and\n$u_x\u0027F\u0027$, for which physicists invent names reflecting theirs physical meaning.",
    "arxiv_id": "physics/0306059",
    "authors": [
      "Bernhard Rothenstein",
      "Ioan Zaharie"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "title": "With the relativistic velocity addition law through special relativity",
    "url": "https://arxiv.org/abs/physics/0306059"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "27fd42f8-c174-47ec-abc7-caf944009ac5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}