{
  "annotation_id": "8773096a-2377-4e2b-a600-e0df56c06e2b",
  "date_created": "2026-03-02T18:01:45.901000Z",
  "date_modified": "2026-03-02T18:01:45.901000Z",
  "file_hash": "128904d3d43cd3d9cebb0ec7badd63270b750b9b489d7fc4cb04e8ca75c096e1",
  "private": false,
  "record": {
    "abstract": "Every physical measuring needs a finite, different from zero measurement time\nand provides information in form of the choice of a measurement result from all\npossible measurement results. If infinitely many (different) measurement\nresults would be possible, the choice of a measurement result could deliver an\ninfinite quantity of information. But the results of physical measurings (of\nfinite duration) never deliver an infinite quantity of information, they\ndescribe past, finite reality. Therefore the set of all possible measurement\nresults a priori is finite. In the physical reality only a finite information\nquantity can be processed within a finite time interval. For mathematical\nmodels whose representation requires a processing of an infinite quantity of\ninformation, for example irrational numbers, no (exact) equivalent exists in\nthe physical reality. So mathematical calculations, which have an equivalent in\nphysical reality, can include only rational (finitely many elementary)\ncombinations of rational numbers. Conclusions arise from this for the\nfoundations of mathematical physics.",
    "arxiv_id": "quant-ph/0108121",
    "authors": [
      "Wolfgang Orthuber"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "To the finite information content of the physically existing reality",
    "url": "https://arxiv.org/abs/quant-ph/0108121"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2457764f-fca6-47a5-b491-35d10c9d4cd6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}