{
  "annotation_id": "77e48de7-8056-4975-af64-7e42695b1568",
  "date_created": "2026-03-02T18:02:41.290000Z",
  "date_modified": "2026-03-02T18:02:41.290000Z",
  "file_hash": "7c7c669f54d8d804bde35898ab9ca43f8fe971a633198f1c10f8ae2b2860ed58",
  "private": false,
  "record": {
    "abstract": "This paper addresses the question whether a variant of a modal interpretation\nis conceivable that could accommodate property ascriptions associated with\nnonorthogonal resolutions of the unity and nonorthogonal families of relative\nstates as they occur in imperfect or genuinely unsharp measurements. I will\nreview a recent formulation of the quantum measurement problem in the form of\nan insolubility theorem that incorporates the case of unsharp object\nobservables as well as certain types of unsharp pointers. In addition to\ndemonstrating the necessity for some modification of quantum mechanics, this\nallows me to specify the logical position of the modal interpretations as a\nresolution to the measurement problem and to indicate why I think their current\nversions are not yet capable of dealing adequately with unsharp quantum\nobservables. The technical tools that will have been explained along this line\nof reasoning will finally serve to make precise the notion of (unsharp) value\nascription that I would find desirable for a modal interpretation to ascertain.",
    "arxiv_id": "quant-ph/9802006",
    "authors": [
      "P. Busch"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "\"The Modal Interpretation of Quantum Mechanics\", eds. D.Dieks,\n  P.E. Vermaas, Kluwer, Dordrecht, 1998, pp. 279-288.",
    "title": "Remarks on unsharp quantum observables, objectification, and modal   interpretations",
    "url": "https://arxiv.org/abs/quant-ph/9802006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d7a590cc-e6a6-4090-a1cf-60d60955f594",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}