{
  "annotation_id": "a26a7991-1eb6-407f-8d50-3610c3e611ae",
  "date_created": "2026-03-02T18:01:48.280000Z",
  "date_modified": "2026-03-02T18:01:48.280000Z",
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  "record": {
    "abstract": "Inspired by Quantum Mechanics, we reformulate Hilbert\u0027s tenth problem in the\ndomain of integer arithmetics into either a problem involving a set of\ninfinitely coupled differential equations or a problem involving a Shr\\\"odinger\npropagator with some appropriate kernel. Either way, Mathematics and Physics\ncould be combined for Hilbert\u0027s tenth problem and for the notion of effective\ncomputability.",
    "arxiv_id": "quant-ph/0111063",
    "authors": [
      "Tien D Kieu"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1098/rspa.2003.1266",
    "journal_ref": "Proc Roy Soc A 460 (2004) 1535 (Final version with modifications)",
    "title": "A reformulation of Hilbert\u0027s tenth problem through Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0111063"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1e3c016a-947c-45fe-8356-aacc7e1486ab",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}