{
  "id": "0811.1357",
  "version": "v4",
  "published": "2008-11-09T18:25:01.000Z",
  "updated": "2009-08-07T12:43:25.000Z",
  "title": "Spinor fields without Lorentz frames in curved spacetime using complexified quaternions",
  "authors": [
    "John Fredsted"
  ],
  "comment": "14 pages; v2: minor corrections; v3: note added concerning unified treatment of local Lorentz transformations and local U(1) gauge transformations; v4: published in J. Math. Phys. 50 083507 (2009)",
  "journal": "J. Math. Phys. 50 083507 (2009)",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Using complexified quaternions, a formalism without Lorentz frames, and therefore also without vierbeins, for dealing with tensor and spinor fields in curved spacetime is presented. A local U(1) gauge symmetry, which, it is speculated, might be related to electromagnetism, emerges naturally.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2009-08-07T12:43:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R52",
      "15A66",
      "70G45",
      "17A75",
      "02.10.Ud",
      "03.30.+p"
    ],
    "keywords": [
      "lorentz frames",
      "spinor fields",
      "complexified quaternions",
      "curved spacetime",
      "gauge symmetry"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "doi": "10.1063/1.3176022",
      "year": 2009,
      "month": "Aug",
      "volume": 50,
      "number": 8,
      "pages": 3507
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 802028,
      "adsabs": "2009JMP....50h3507F"
    }
  }
}