{
  "annotation_id": "282d9c10-60dc-4f76-97dc-54458b5ae6ab",
  "date_created": "2026-03-02T18:02:03.137000Z",
  "date_modified": "2026-03-02T18:02:03.137000Z",
  "file_hash": "acebee20dc359c415214a0a26215901f745a37c8c2caee72d998e7a99da6b0d5",
  "private": false,
  "record": {
    "abstract": "We study Sorkin\u0027s proposal of a generalization of quantum mechanics and find\nthat the theories proposed derive their probabilities from $k$-th order\npolynomials in additive measures, in the same way that quantum mechanics uses a\nprobability bilinear in the quantum amplitude and its complex conjugate. Two\ncomplementary approaches are presented, a $C^*$ and a Hopf-algebraic one,\nilluminating both algebraic and geometric aspects of the problem.",
    "arxiv_id": "quant-ph/0309092",
    "authors": [
      "Chryssomalis Chryssomalakos",
      "Micho Durdevich"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1142/S0217732304013003",
    "journal_ref": "Mod.Phys.Lett. A19 (2004) 197-212",
    "title": "Higher Order Measures, Generalized Quantum Mechanics and Hopf Algebras",
    "url": "https://arxiv.org/abs/quant-ph/0309092"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "448fd341-d596-46af-903b-97136d928bfd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}