{
  "annotation_id": "06ff6c49-dc75-4805-9ec2-07bb3174838a",
  "date_created": "2026-03-02T18:02:20.475000Z",
  "date_modified": "2026-03-02T18:02:20.475000Z",
  "file_hash": "342c48650fd4e5878f68e7c9affdbbad4e85adf1777c935bcd5b702bad72efe4",
  "private": false,
  "record": {
    "abstract": "A preliminary investigation is made of possible applications in quantum\ntheory of the topos formed by the collection of all $M$-sets, where $M$ is a\nmonoid. Earlier results on topos aspects of quantum theory can be rederived in\nthis way. However, the formalism also suggests a new way of constructing a\n`neo-realist\u0027 interpretation of quantum theory in which the truth values of\npropositions are determined by the actions of the monoid of strings of finite\nprojection operators. By these means, a novel topos perspective is gained on\nthe concept of state-vector reduction.",
    "arxiv_id": "quant-ph/0508225",
    "authors": [
      "C. J. Isham"
    ],
    "categories": [
      "quant-ph",
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1007/s10773-006-9110-7",
    "title": "A Topos Perspective on State-Vector Reduction",
    "url": "https://arxiv.org/abs/quant-ph/0508225"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e988d251-11e4-488c-a3b5-85d47fdfbb47",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}