{
  "id": "quant-ph/0411213",
  "version": "v1",
  "published": "2004-11-30T18:35:11.000Z",
  "updated": "2004-11-30T18:35:11.000Z",
  "title": "Elementary Operations",
  "authors": [
    "James Baugh",
    "Andrei Galiautdinov",
    "David Ritz Finkelstein",
    "Mohsen Shiri-Garakani",
    "Heinrich Saller"
  ],
  "comment": "Based on a talk given at the 5th International Quantum Structure Association Conference, Cesena, Italy, 2001.To be published in the International Journal of Theoretical Physics",
  "categories": [
    "quant-ph"
  ],
  "abstract": "A Clifford algebra over the binary field 2 = {0,1} is a second-order classical logic that is substantially richer than Boolean algebra. We use it as a bridge to a Clifford algebraic quantum logic that is richer than the usual Hilbert space quantum logic and admits iteration. This leads to a higher-order Clifford-algebraic logic. We formulate a toy Dirac equation with this logic. It isexactly Lorentz-invariant, yet it approximates the usual Dirac equation as closely as desired and all its variables have finite spectra. It is worth considering as a Lorentz-invariant improvement on lattice space-times.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-11-30T18:35:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "elementary operations",
      "usual hilbert space quantum logic",
      "clifford algebraic quantum logic",
      "higher-order clifford-algebraic logic",
      "toy dirac equation"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004quant.ph.11213B"
    }
  }
}