{
  "annotation_id": "e94bb8a1-8ae6-42b3-9cd5-f375d0790e2a",
  "date_created": "2026-03-02T18:02:16.806000Z",
  "date_modified": "2026-03-02T18:02:16.806000Z",
  "file_hash": "82e5be78b8d5af5a598a744986f0543ca3d7c9bf8b525f55bad10c4a87d2c99b",
  "private": false,
  "record": {
    "abstract": "This letter analyzes the limits that quantum mechanics imposes on the\naccuracy to which spacetime geometry can be measured. By applying the physics\nof computation to ensembles of clocks, as in GPS, we present a covariant\nversion of the quantum geometric limit, which states that the total number of\nticks of clocks and clicks of detectors that can be contained in a four volume\nof spacetime of radius r and temporal extent t is less than or equal to rt/pi\nx_P t_P, where x_P, t_P are the Planck length and time. The quantum geometric\nbound limits the number of events or `ops\u0027 that can take place in a four-volume\nof spacetime and is consistent with and complementary to the holographic bound\nwhich limits the number of bits that can exist within a three-volume of\nspacetime.",
    "arxiv_id": "quant-ph/0505064",
    "authors": [
      "Seth Lloyd"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum limits to the measurement of spacetime geometry",
    "url": "https://arxiv.org/abs/quant-ph/0505064"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5e4f106b-0264-4201-8411-c9e13fe6f6ba",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}