{
  "annotation_id": "96057c4c-2b04-4e5a-bd06-d4562b19895d",
  "date_created": "2026-03-02T18:02:31.245000Z",
  "date_modified": "2026-03-02T18:02:31.245000Z",
  "file_hash": "624006230fb827b786a1bcc205767b281de98e24185f3e5747e2a31948c7307b",
  "private": false,
  "record": {
    "abstract": "We present a causal trajectory interpretation for the massive vector field,\nbased on the flows of rest energy and a conserved density defined using the\ntime-like eigenvectors and eigenvalues of the stress-energy-momentum tensor.\nThis work extends our previous work which used a similar procedure for the\nscalar field. The massive, spin-one, complex vector field is discussed in\ndetail and solutions are classified using the Pauli-Lubanski spin vector. The\nflows of energy-momentum are illustrated in a simple example of standing waves\nin a plane.",
    "arxiv_id": "quant-ph/0609198",
    "authors": [
      "George Horton",
      "Chris Dewdney"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Energy momentum flows for the massive vector field",
    "url": "https://arxiv.org/abs/quant-ph/0609198"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fc982ab3-fb95-4bd3-98db-07e90cb6a752",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}