{
  "annotation_id": "548387d4-5042-48e6-becd-27ee893294ae",
  "date_created": "2026-03-02T18:02:03.366000Z",
  "date_modified": "2026-03-02T18:02:03.366000Z",
  "file_hash": "0b4c4fe2cbc6f8d969f5e3a9dc176d2ab7080fc8c66ed0a254ed46cc338a5da8",
  "private": false,
  "record": {
    "abstract": "In this paper we show that if the refractive index, or rather (n(w) -1)\nsatisfies the dispersion relations then, it is implied by Titchmarsh\u0027s theorem\nthat n(w) -\u003e 1 as w -\u003e infinity. Any other limiting value for n(w) would\nviolate relativistic causality, by which we mean not only that cause must\nprecede effect but also that signals cannot travel faster-than-c (the velocity\nof light) in a vacuum. This paper does not claim to be a mathematically\nrigorous proof, but the authors hope to have succeeded in supplying a very\nconvincing argument against faster-than-c light signals.\n  Keywords: Dispersion relations, Kramers Kronig relations, Causality,\nfaster-than-c signals.",
    "arxiv_id": "quant-ph/0310059",
    "authors": [
      "H. Fearn",
      "R. H. Gibb"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Dispersion Relations and Relativistic Causality",
    "url": "https://arxiv.org/abs/quant-ph/0310059"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "93d3d8c9-c8a4-4a9b-8e9a-30421b200afa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}