{
  "annotation_id": "b3960061-c97a-4635-b04f-4ec43290e50d",
  "date_created": "2026-03-02T18:02:12.643000Z",
  "date_modified": "2026-03-02T18:02:12.643000Z",
  "file_hash": "2c798609891c18d765ec30f5794310060b83f30b284cbfff510dac3acd4e2033",
  "private": false,
  "record": {
    "abstract": "It is shown that the Schrodinger equation is a byproduct of more\ndeterministic Boltzmann-like equation. All physical information is derived from\nthe solution of this equation, which is a function of space and momentum. The\nadditional terms in this equation, when compared with the classical Boltzmann\nequation, asserts that the particle should be broadened over the time axis,\ni.e., it is partly present at the past, the present, and the future. The\nsolution of this equation itself is nonlocal. This solution requires an\nespecial time coordinate that is different from the usual time parameter\nentering into the formalism of quantum mechanics. This time coordinate is\nhidden in the structure of wave function. It is substantiated that the mixed\nstate is a natural result of time broadening. Furthermore, the interaction\nbetween an object that is broadened in time and an observer that has a very\nnarrow time-width leads to the collapse of wave function.",
    "arxiv_id": "quant-ph/0411169",
    "authors": [
      "A. M. Ghorbanzadeh"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum mechanics as a result of time broadening of the classical object",
    "url": "https://arxiv.org/abs/quant-ph/0411169"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a5861cec-ca3e-427a-ba53-0178329bb9f3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}