{
  "annotation_id": "813f0554-277f-44d2-9093-ab40cc409d89",
  "date_created": "2026-03-02T18:02:27.170000Z",
  "date_modified": "2026-03-02T18:02:27.170000Z",
  "file_hash": "34ee18055144ed513779a65b56fd52c9ff0a7cf2b42bc7913ca3bfb6b0ff7541",
  "private": false,
  "record": {
    "abstract": "The Bohm-Gadella theory, sometimes referred to as the Time Asymmetric Quantum\nTheory of Scattering and Decay, is based on the Hardy axiom. The Hardy axiom\nasserts that the solutions of the Lippmann-Schwinger equation are functionals\nover spaces of Hardy functions. The preparation-registration arrow of time\nprovides the physical justification for the Hardy axiom. In this paper, it is\nshown that the Hardy axiom is incorrect, because the solutions of the\nLippmann-Schwinger equation do not act on spaces of Hardy functions. It is also\nshown that the derivation of the preparation-registration arrow of time is\nflawed. Thus, Hardy functions neither appear when we solve the\nLippmann-Schwinger equation nor they should appear. It is also shown that the\nBohm-Gadella theory does not rest on the same physical principles as quantum\nmechanics, and that it does not solve any problem that quantum mechanics cannot\nsolve. The Bohm-Gadella theory must therefore be abandoned.",
    "arxiv_id": "quant-ph/0606186",
    "authors": [
      "R. de la Madrid"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/39/29/017",
    "journal_ref": "J.Phys. A: Math. Gen. 39 (2006) 9255-9268",
    "title": "On the inconsistency of the Bohm-Gadella theory with quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0606186"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8316c816-88a3-43c2-a2af-ff708c4e085b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}