{
  "annotation_id": "7fb752c0-2566-4664-8d01-a30b985037cb",
  "date_created": "2026-03-02T18:00:39.870000Z",
  "date_modified": "2026-03-02T18:00:39.870000Z",
  "file_hash": "04b9a5693dd8dbacf5c9647437c9ed637b3aaa211392ada02827bea35469362d",
  "private": false,
  "record": {
    "abstract": "The concept of definability of quantum fields in a set-theoretical foundation\nis introduced. We propose an axiomatic set theory and then derive a nonlinear\nsigma model and the Schroedinger equation in a Lagrangian form; this follows\nnaturally from a null postulate which expresses symmetry of action.\nDefinability in this theory is necessary and sufficient for quantum mechanics.\nSpace-time proves to be relational and the fields are free of singularities",
    "arxiv_id": "physics/0206011",
    "authors": [
      "D. J. Bendaniel"
    ],
    "categories": [
      "physics.gen-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Definability in Physics",
    "url": "https://arxiv.org/abs/physics/0206011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b732cf28-9664-4adb-b051-532a136c48a9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}