{
  "annotation_id": "25bdabe0-9f3d-4a67-8f43-31a950f8bc22",
  "date_created": "2026-03-02T18:01:49.439000Z",
  "date_modified": "2026-03-02T18:01:49.439000Z",
  "file_hash": "eb1c5952ba3c239d580c0dc769f2e94e70e92b5032f7c1419c33b6db00493d4f",
  "private": false,
  "record": {
    "abstract": "Set-theoretical, physical, and intuitive notions of continuum are compared.\nIt is shown that the independence of the continuum hypothesis determines status\nand properties of the set of intermediate cardinality. The intermediate set is\na hierarchy of non-equivalent infinite sets. Its description consist of\nautonomous theories. In particular, quantum mechanics, classical mechanics, and\ngeometrical optics should be regarded as components of the complete description\nof the intermediate set. The intermediate sets may be produced as a result of a\nfission of a continuous interval. The simplest schemes of the fission are\nconsidered. Some analogy with the Standard Model is pointed out.",
    "arxiv_id": "quant-ph/0204090",
    "authors": [
      "O. Yaremchuk"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "The continuum problem and reality",
    "url": "https://arxiv.org/abs/quant-ph/0204090"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b0f1c070-59e7-479a-b0e9-b453769e0d37",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}