{
  "annotation_id": "7f012e22-9e61-41b4-beb7-b0be3729b73d",
  "date_created": "2026-03-02T18:00:52.898000Z",
  "date_modified": "2026-03-02T18:00:52.898000Z",
  "file_hash": "ac8c771d724812efa7e5263202b89c56fecd286bf4c25fe2e660da4b9110e94c",
  "private": false,
  "record": {
    "abstract": "Although many papers have appeared on the theory of photographing\nrelativistically moving objects, pioneered by the classic work of Penrose and\nTerrell, three problems remain outstanding. (1) There does not seem to exist a\ngeneral formula which gives the projection of a relativistically moving object,\napplicable to any object no matter how complicated, on a two-dimensional plane\nin conformity with Terrell\u0027s observation. (2) No resolution seems to have been\nprovided for the associated so-called `train\u0027 paradox. (3) No analytical\ndemonstration seems to have been offered on how the Lorentz contraction may be\nactually detected on a photograph. This paper addresses all of these three\nproblems. The analysis does not require any more than trigonometry and\nelementary differentiation.",
    "arxiv_id": "physics/0412040",
    "authors": [
      "E. B. Manoukian",
      "S. Sukkhasena"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "doi": "10.1088/0143-0807/23/2/302",
    "journal_ref": "Eur. J. Phys. 23 (2002) 103-110",
    "title": "Projection of relativistically moving objects on a two-dimensional   plane, the `train\u0027 paradox and the visibility of the Lorentz contraction",
    "url": "https://arxiv.org/abs/physics/0412040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "aed9a28e-ec4e-4f1d-ba25-fe13f2f1af41",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}