{
  "annotation_id": "784ee861-1f3c-42c8-ba73-1d138fb80834",
  "date_created": "2026-03-02T18:01:42.728000Z",
  "date_modified": "2026-03-02T18:01:42.728000Z",
  "file_hash": "3f02566ce764f05c999325f96bec6c723cd8b67d108ac7e3103490533bcfbc0c",
  "private": false,
  "record": {
    "abstract": "We analyze the assumptions that are made in the proofs of Bell-type\ninequalities for the results of Einstein-Podolsky-Rosen type of experiments. We\nfind that the introduction of time-like random variables permits the\nconstruction of a broader mathematical model which accounts for all\ncorrelations of variables that are contained in the time dependent parameter\nset of the backward light cone. It also permits to obtain the quantum result\nfor the spin pair correlation, a result that contradicts Bell\u0027s inequality. Two\nkey features of our mathematical model are (i) the introduction of time\noperators that are indexed by the measurement settings and appear in addition\nto Bell\u0027s source parameters and (ii) the related introduction of a probability\nmeasure for all parameters that does depend on the analyzer settings. Using the\ntheory of B-splines, we then show that this probability measure can be\nconstructed as a linear combination of setting dependent subspace product\nmeasures and that the construction guarantees Einstein-separability.",
    "arxiv_id": "quant-ph/0103028",
    "authors": [
      "Karl Hess",
      "Walter Philipp"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Einstein-separability, time related hidden parameters for correlated   spins, and the theorem of Bell",
    "url": "https://arxiv.org/abs/quant-ph/0103028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b44c5921-a67a-4c27-a7f5-7503d2a46a08",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}