{
  "annotation_id": "be63d6b0-ebb7-46d1-b481-32560ddb3d5f",
  "date_created": "2026-03-02T18:02:13.459000Z",
  "date_modified": "2026-03-02T18:02:13.459000Z",
  "file_hash": "f46faa281689fafb7af6fec789d05addbe42bcc83ee369fc562d9d369fa60768",
  "private": false,
  "record": {
    "abstract": "The theorem of Bell states that certain results of quantum mechanics violate\ninequalities that are valid for objective local random variables. We show that\nthe inequalities of Bell are special cases of theorems found ten years earlier\nby Bass and stated in full generality by Vorob\u0027ev. This fact implies precise\nnecessary and sufficient mathematical conditions for the validity of the Bell\ninequalities. We show that these precise conditions differ significantly from\nthe definition of objective local variable spaces and as an application that\nthe Bell inequalities may be violated even for objective local random\nvariables.",
    "arxiv_id": "quant-ph/0503044",
    "authors": [
      "Karl Hess",
      "Walter Philipp"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s10701-005-6520-y",
    "title": "The Bell Theorem as a Special Case of a Theorem of Bass",
    "url": "https://arxiv.org/abs/quant-ph/0503044"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "39fc753a-79a7-4026-b978-683ced856f1a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}