{
  "id": "1905.08206",
  "version": "v1",
  "published": "2019-05-20T16:44:59.000Z",
  "updated": "2019-05-20T16:44:59.000Z",
  "title": "On the possibility of nonlinear de Broglie relations for very-high-energy photons",
  "authors": [
    "Fernando Parisio"
  ],
  "categories": [
    "astro-ph.HE",
    "gr-qc",
    "quant-ph"
  ],
  "abstract": "While quantum field theory is at the heart of our understanding of a large variety of phenomena, there remains some discrepancies between theoretically predicted and observed quantities in the very-high-energy (VHE) domain. In this work, starting from commutation relations between phase-space operators (in ``first quantization'') we define averaged creation and annihilation operators and show that they satisfy a simple, deformed commutation relation. By extending this relation to the quantized electromagnetic field, we are led to non-linear de Broglie relations for photons, which appreciably differ from $E=\\hbar \\omega$ and $\\mathbf{p}=\\hbar \\mathbf{k}$ only in the VHE regime. The nonlinear Compton scattering that follows from these assumptions is discussed. We suggest that this hypothesis may be a way to deal with the pair-production anomaly and show that it may lead to an attenuation in the cosmological-constant problem of several orders of magnitude.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-20T16:44:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "broglie relations",
      "very-high-energy photons",
      "possibility",
      "quantum field theory",
      "large variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}