{
  "annotation_id": "d1adbd53-9598-496d-a11a-de2aedeff962",
  "date_created": "2026-03-02T18:02:15.901000Z",
  "date_modified": "2026-03-02T18:02:15.901000Z",
  "file_hash": "7176a10d9a4bd9617dd113eef209e1b7edcdbc54fe95506202b9ca53672f0f43",
  "private": false,
  "record": {
    "abstract": "A general form of the dynamical equations of field is obtained on the\nrequirement this field is a superposable one; hence the constraint on the forms\nof the Lagrangians is acquired. It shows this requirement requires the\ncontinuous transformation group of the Lagrangians of field to be compact, and\nthat All Lagrangians of elementary particles, such as leptons, quarks, photons\nand gluons, satisfy this requirement.The result of regarding this character as\na general property of physical field is discussed.",
    "arxiv_id": "quant-ph/0503144",
    "authors": [
      "X. Sun",
      "Z. Yang"
    ],
    "categories": [
      "quant-ph",
      "hep-ph"
    ],
    "title": "Constraints of the Dynamic Equations and Lagrangian required by   Superposition of Field",
    "url": "https://arxiv.org/abs/quant-ph/0503144"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "216c70e4-4045-45b4-8d89-0b5d0263a87e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}