{
  "annotation_id": "b882ee8c-d38f-4651-9bc4-53994beaddb3",
  "date_created": "2026-03-02T18:02:38.014000Z",
  "date_modified": "2026-03-02T18:02:38.014000Z",
  "file_hash": "ed9fda3b66e96e86addb5db4aea66adaf4a3876832e3b9668d6b4a94ef6f3b4f",
  "private": false,
  "record": {
    "abstract": "A thought experiment considering conservation of energy and momentum for a\npair of free bodies together with their internal energy is used to show the\nexistence of states that have localised position while being eigenstates of\nenergy and momentum. These states are applicable to all varieties of physical\nbodies, including planets and stars in free motion in the universe. The states\nare compound entanglements of multiple free bodies in which the momenta of the\nbodies are anticorrelated so that they always sum to zero, while their total\nkinetic energy is anticorrelated with their internal energies, so the total is\na constant, E. The bodies are relatively localised while the total state has\nwell-defined energy and momentum. These states do not violate Heisenberg\nuncertainty because the total centre of mass is not localised, hence the states\nnaturally describe whole universes rather than isolated systems within a\nuniverse. A further property of these states, resulting from the form of the\nentanglement, is that they display nonlocality in the full sense of signal\ntransmission rather than the more restricted Bell sense.",
    "arxiv_id": "quant-ph/9511023",
    "authors": [
      "Michael Simpson"
    ],
    "categories": [
      "quant-ph",
      "gr-qc",
      "hep-th"
    ],
    "title": "Localisation and Nonlocality in Compound Energy-Momentum Eigenstates",
    "url": "https://arxiv.org/abs/quant-ph/9511023"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "07a09b2c-9c03-4b95-bc31-a57efa7ed5f8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}