{
  "annotation_id": "55e81bda-7ac4-4ccc-bf2c-23dc63b5c033",
  "date_created": "2026-03-02T18:02:15.885000Z",
  "date_modified": "2026-03-02T18:02:15.885000Z",
  "file_hash": "e5142cffe58a4081ffdd8131bc56e19cf84c6aa4a06e9c70f22e82644df27a93",
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  "record": {
    "abstract": "This paper summarizes the contents of the paper \"Non-Commutative Worlds\" by\nthe author (published in New Journal of Physics Vol. 6, November 2004, pp. 2 -\n46; quant-ph/0403012) and gives a new derivation of our generalization of\nelectromagnetism in a non-commutative context. This generalization extends the\nFeynman-Dyson derivation and it admits discrete models. The methods of the\npresent paper are diagrammatic. In this form, the theory is entirely a\nconsequence of the choice of definition of space and time derivatives as\ncommutators.",
    "arxiv_id": "quant-ph/0503198",
    "authors": [
      "Louis H. Kauffman"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Int.J.Theor.Phys. 45 (2006) 1439-1466",
    "title": "Non-Commutative Worlds -- A Summary",
    "url": "https://arxiv.org/abs/quant-ph/0503198"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7e5c35e8-eef5-4004-8c86-28f2b011768b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}