{
  "annotation_id": "31aa701f-f6a4-4f16-b93c-a5bdbd9c7685",
  "date_created": "2026-03-02T18:01:04.404000Z",
  "date_modified": "2026-03-02T18:01:04.404000Z",
  "file_hash": "a66c194a98f9c50f339bcb38bfb51fca3f42de308352b0043e697c9fa2002acb",
  "private": false,
  "record": {
    "abstract": "We put forward an idea that physical phenomena have to be treated in\n5-dimensional space where the fifth coordinate is the interval S. Thus, we\nconsidered the (1+4) extended space G(T;X,Y,Z,S). In addition to Lorentz\ntransformations (T;X), (T;Y), (T;Z) which are in (1+3)-dimensional Minkowski\nspace, in the proposed (1+4)d extended space two other types of transformations\nexist in planes (T,S); (X,S), (Y,S), (Z,S) that converts massive particles into\nmassless and vice versa. We also consider energy-momentum-mass 5-d space which\nis conjugated to the time-coordinates-interval (T;X,Y,Z,S) space. The mass in\nabove mentioned 5-d energy-momentum-mass space corresponds to the interval S in\n5-d space (T,X,Y,Z,S). Well known energy-momentum 4-vector P(1+3)=(E/c;\npx,py,pz) in the Minkowski (T;X,Y,Z) space is transformed to the the 5-vector -\nP(1+4)=(E/c; px,py,pz,mc) in the extended space G(T;X,Y,Z,S) and becomes\nisotropic for 5-vectors of the massive as well as for the massless particles.",
    "arxiv_id": "physics/0601151",
    "authors": [
      "D. Yu. Tsipenyuk",
      "V. A. Andreev"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "title": "5-Dimensional Extended Space Model",
    "url": "https://arxiv.org/abs/physics/0601151"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c642dab8-5fee-4224-9d0e-c1b424d46532",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}