{
  "annotation_id": "a58319cc-0723-4acc-afd4-d47d8e289a77",
  "date_created": "2026-03-02T18:00:53.410000Z",
  "date_modified": "2026-03-02T18:00:53.410000Z",
  "file_hash": "bfacfc021fc774241dcdeb8e60959292b72044d41bc8a058c7838956c2038396",
  "private": false,
  "record": {
    "abstract": "We formulate geodesics on a manifold in terms of a parallel transfer of a\nparticle state vector transformed by local Lorentz and Yang-Mills symmetry\ngroups. This formulation leads to an introduction of a canonical one-form the\neigenvalues of which define distance on a manifold. We suggest an action based\non the canonical distance form and apply it to describe classical particles\nwith spin. Arguments are presented in favour of scaling distance in the\nspace-time with a scalar field.",
    "arxiv_id": "physics/0409134",
    "authors": [
      "A. N. Grigorenko"
    ],
    "categories": [
      "physics.class-ph",
      "physics.gen-ph"
    ],
    "doi": "10.1016/j.geomphys.2014.07.022",
    "journal_ref": "Journal of Geometry and Physics, vol. 86, 94-100, 2014",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Geodesics and distance in classical physics",
    "url": "https://arxiv.org/abs/physics/0409134"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5a983702-ef56-4431-b0bf-71effdd6159e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}