{
  "annotation_id": "86c62ee8-1aa8-4f67-9ce8-df868c912adb",
  "date_created": "2026-03-02T18:01:25.311000Z",
  "date_modified": "2026-03-02T18:01:25.311000Z",
  "file_hash": "05ba8f8cd9a978fa6b318b314918416776730ac736dbcf938d105653c3d91f98",
  "private": false,
  "record": {
    "abstract": "We take the view that physical quantities are values generated by processes\nin measurement, not pre-existent objective quantities, and that a measurement\nresult is strictly a product of the apparatus and the subject of the\nmeasurement. We habitually make an inaccurate statements when we speak of the\nmeasurement of a quantity by an apparatus. These statements can be formalised\nas a many valued logic with the structure of a vector space with a hermitian\nform in such a way as to generate probabilities in the results of measurement.\nThe difference between this and classical probability theory is that we are not\nfinding probabilities generated by unknown variables, but probabilities\ngenerated by unknown structure. We thus interpret quantum logic as the\napplication of complex truth values to statements in an inaccurate language,\nand find that the properties of vector space hold for approximate measurement\nas well as for measurement of optimal accuracy, suggesting that Planck\u0027s\nconstant governs the scale of the fundamental structures of matter.",
    "arxiv_id": "physics/9909047",
    "authors": [
      "Charles Francis"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "title": "A Model of Classical and Quantum Measurement",
    "url": "https://arxiv.org/abs/physics/9909047"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7e81b77d-6e9e-470d-a353-de6ac796b829",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}