{
  "annotation_id": "2b7cdd78-bd44-410d-9999-f4e4d58193e6",
  "date_created": "2026-03-02T18:02:41.365000Z",
  "date_modified": "2026-03-02T18:02:41.365000Z",
  "file_hash": "21c83ba3c5aa7958caf56f61d14df6f32c8034f549056c868469771f7fcfcaa6",
  "private": false,
  "record": {
    "abstract": "Based on the concept of extended particles recently introduced we perform a\nGedankenexperiment accelerating single electrons with photons of suitably low\nfrequency. Accounting for relativistic time dilation due to the acquired\nvelocity and in infinite repetition of single absorption processes it can be\nshown that the kinetic energy in the infinite limit is equal to m_{e} c^{2}/2.\nHowever, the inertial mass of the electron seems enhanced, and it can be\nestablished that this enhancement is described by the relativistic mass effect.\nIt appears, therefore, that although there exists a singularity in interactions\n- the frequency required to accelerate the particle near the limit of c becomes\ninfinite - the energy of the particle itself approaches a finite limit.\nComparing with calculations of the Lamb-shift by Bethe this result seems to\nprovide the ultimate justification for the renormalization procedures employed.",
    "arxiv_id": "quant-ph/9805061",
    "authors": [
      "W. A. Hofer"
    ],
    "categories": [
      "quant-ph",
      "hep-ph",
      "hep-th",
      "physics.pop-ph"
    ],
    "title": "Electron acceleration due to photon absorption: A possible origin of the   infinity problems in relativistic quantum fields",
    "url": "https://arxiv.org/abs/quant-ph/9805061"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8afdae51-b93b-466f-9524-621be1035c65",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}