{
  "annotation_id": "85f6edc0-0e06-4e8e-a9f9-d444940db02c",
  "date_created": "2026-03-02T18:02:07.090000Z",
  "date_modified": "2026-03-02T18:02:07.090000Z",
  "file_hash": "eaa527f9b542a6e18e20d853810138dc975699085061ba5450c5bb9bb01168f8",
  "private": false,
  "record": {
    "abstract": "A.E. Allahverdyan and Th. M. Nieuwenhuizen [1] in their paper \"A mathematical\ntheorem as a basis for the second law: Thomson\u0027s formulation applied to\nequilibriium\" present a proof of the second law of thermodynamics based on\nquantum mechanics. In this comment on their paper I offer a counterexample to\ntheir proof.",
    "arxiv_id": "quant-ph/0403040",
    "authors": [
      "Dan Solomon"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "title": "Comment on \"A mathematical theorem as a basis for the second law:   Thomson\u0027s formulation applied to equilibruim\"",
    "url": "https://arxiv.org/abs/quant-ph/0403040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3c660f2f-567d-45f4-ab1c-6e4d93d55aad",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}