{
  "annotation_id": "0dd81c4e-31a5-4685-8872-7b8e48d30e5a",
  "date_created": "2026-03-02T18:00:32.615000Z",
  "date_modified": "2026-03-02T18:00:32.615000Z",
  "file_hash": "4b7f30dbfafa4b52356c12c5c5ea99fddc8e26bfda2fc00d08d39d4bc484cfaf",
  "private": false,
  "record": {
    "abstract": "We propose a distinction between the physical and the mathematical parts of\ngauge field theories. The main problem we face is to uphold a strong and\nmeaningful criterion of what is physical. We like to call it \"Field\u0027s dilemma\",\nreferring to Hartry Field\u0027s nominalist proposal which we consider to be\ninadaequate. The resolution to the dilemma, we believe, is implicitly provided\nby the so-called fiber bundle formalism. We shall demonstrate, in detail, that\nthe bundle structure underlying modern quantum and gravitational gauge field\ntheories allows for a genuine distinction between the physically significant\nand the merely mathematical parts of these theories.",
    "arxiv_id": "physics/0005051",
    "authors": [
      "Yair Guttmann",
      "Holger Lyre"
    ],
    "categories": [
      "physics.hist-ph",
      "gr-qc",
      "hep-th",
      "physics.gen-ph",
      "quant-ph"
    ],
    "title": "Fiber Bundle Gauge Theories and \"Field\u0027s Dilemma\"",
    "url": "https://arxiv.org/abs/physics/0005051"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3965e42f-b547-418c-8c1c-cfaa7ec4d2d2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}