{
  "annotation_id": "c85f65f0-960d-459c-aade-ad1854746f20",
  "date_created": "2026-03-02T18:01:44.865000Z",
  "date_modified": "2026-03-02T18:01:44.865000Z",
  "file_hash": "ef998058f233599d4ad6952dbb0d4cf1ec4c56697d2630968022227362e7dbec",
  "private": false,
  "record": {
    "abstract": "The full algebra of relativistic quantum mechanics (Lorentz plus Heisenberg)\nis unstable. Stabilization by deformation leads to a new deformation parameter\n$\\epsilon \\ell ^{2}$, $\\ell $ being a length and $\\epsilon$ a $\\pm$ sign. The\nimplications of the deformed algebras for the uncertainty principle and the\ndensity of states are worked out and compared with the results of past analysis\nfollowing from gravity and string theory.",
    "arxiv_id": "quant-ph/0106069",
    "authors": [
      "Eric Carlen",
      "R. Vilela Mendes"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(01)00673-9",
    "journal_ref": "Physics Letters A 290 (2001) 109",
    "title": "Non-commutative space-time and the uncertainty principle",
    "url": "https://arxiv.org/abs/quant-ph/0106069"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "71461b1b-97de-4a67-bffe-ee028d56f83f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}