{
  "annotation_id": "50adfd9c-e42e-4c1c-b999-d343df06d5eb",
  "date_created": "2026-03-02T18:02:47.659000Z",
  "date_modified": "2026-03-02T18:02:47.659000Z",
  "file_hash": "b7dd445e7164ef39641449cc8345429b3c222749e017c751ec892febf3c3e852",
  "private": false,
  "record": {
    "abstract": "Quasi-set theory provides us a mathematical background for dealing with\ncollections of indistinguishable elementary particles. In this paper, we show\nhow to obtain the usual statistics (Maxwell-Boltzmann, Bose-Einstein, and\nFermi-Dirac) into the scope of quasi-set theory. We also show that, in order to\nderive Maxwell-Boltzmann statistics, it is not necessary to assume that the\nparticles are distinguishable. In other words, Maxwell-Boltzmann statistics is\npossible even in an ensamble of indistinguishable particles, at least from the\ntheoretical point of view. The main goal of this paper is to provide the\nmathematical grounds of a quasi-set-theoretical framework for statistical\nmechanics.",
    "arxiv_id": "quant-ph/9906038",
    "authors": [
      "Adonai S. Sant\u0027Anna",
      "Alexandre M. S. Santos"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Found.Phys. 30 (2000) 101-120",
    "title": "Quasi-set-theoretical foundations of statistical mechanics: a research   program",
    "url": "https://arxiv.org/abs/quant-ph/9906038"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d11a1ded-8f08-4a7d-b309-d96d9d66544d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}