{
  "annotation_id": "0c8017ba-e2c1-4bee-bf03-1de3ac97527b",
  "date_created": "2026-03-02T18:00:35.578000Z",
  "date_modified": "2026-03-02T18:00:35.578000Z",
  "file_hash": "ec3f0d043707cff8f7dddfba703bbfe2f59bd558af95abfb3416d4540e6196ac",
  "private": false,
  "record": {
    "abstract": "It is shown that the two sequences of characteristic dimensions of\ntransfinite heterotic string space-time found by El Naschie can be remarkably\nwell accounted for in terms of the arithmetic of self-conjugate homaloidal nets\nof plane algebraic curves of orders 3 to 20. A firm algebraic geometrical\njustification is thus given not only for all the relevant dimensions of the\nclassical theory, but also for other two dimensions proposed by El Naschie,\nviz. the inverse of quantum gravity coupling constant (~42.36067977) and that\nof (one half of) fine structure constant (~68.54101967). A non-trivial coupling\nbetween the two El Naschie sequences is also revealed.",
    "arxiv_id": "physics/0105049",
    "authors": [
      "Metod Saniga"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "doi": "10.1016/S0960-0779(01)00125-4",
    "journal_ref": "ChaosSolitonsFractals13:1537-1540,2001",
    "title": "Arithmetic of Plane Cremona Transformations and the Dimensions of   Transfinite Heterotic String Space-Time",
    "url": "https://arxiv.org/abs/physics/0105049"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bedb63cd-6870-4111-a50b-292e11a9caed",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}