{
  "annotation_id": "08ecaef1-d424-4d1c-b78b-56262842aaca",
  "date_created": "2026-03-02T18:02:27.409000Z",
  "date_modified": "2026-03-02T18:02:27.409000Z",
  "file_hash": "aa4465e8c9492bd78ef3850254bd7951e1f0e0b43d94f48add8cd99a67f97729",
  "private": false,
  "record": {
    "abstract": "It is shown that the hypercomplex Dirac equation describes the system of\nconnected fields: 4-scalar, 4-pseudoscalar, 4-vector, 4-pseudo-vector and\nantisymmetric 4-tensor second rank field. If mass is assumed to be zero this\nsystem splits into two subsystems. Equations containing tensor, scalar and\npseudoscalar fields coincide with Maxwell equations complemented by scalar and\npseudoscalar fields. This system describes the electrodynamics of non-conserved\ncharges. The scalar and pseudoscalar fields are generated only by the\nnon-conserved charges - electric and hypothetical magnetic. The influence of\nthese fields on the charged particles is very unusual - it causes a change of\ntheir rest mass. This allows us to give a new look at the Wigner paradox and\nmechanism of mass renormalization.",
    "arxiv_id": "quant-ph/0607045",
    "authors": [
      "K. S. Karplyuk",
      "O. O. Zhmudskyy"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Hypercomplex Dirac Equation and Electrodynamics of Non-Conserved Charges",
    "url": "https://arxiv.org/abs/quant-ph/0607045"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "48b4304e-9160-45ab-9b85-cd3a58aa92db",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}