{
  "annotation_id": "807dc889-59f2-43bc-961f-2a8e47d856c2",
  "date_created": "2026-03-02T18:01:38.962000Z",
  "date_modified": "2026-03-02T18:01:38.962000Z",
  "file_hash": "6ba405c13cb9503790d95ed701b7b3ea0563fb1c77389a10ef553cf17326b4f4",
  "private": false,
  "record": {
    "abstract": "An enlarged group G of nonlinear transformations, modeled on the general\nlinear group GL(2,R), leads to a beautiful, apparently unremarked symmetry\nbetween the wave function\u0027s phase and the logarithm of its amplitude. Equations\nDoebner and I earlier proposed are embedded in a wider, natural family of\nnonlinear time-evolution equations, on which G acts as a gauge group (leaving\nphysical observations invariant). There exist G-invariant quantities that\nreduce to the usual probability density and flux for linearizable quantum\ntheories in a particular gauge.",
    "arxiv_id": "quant-ph/0002013",
    "authors": [
      "Gerald A. Goldin"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Perspectives on Nonlinearity in Quantum Theory",
    "url": "https://arxiv.org/abs/quant-ph/0002013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ba4a4637-7cc3-4f84-af48-7aa71d4d7516",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}