{
  "id": "hep-ph/0105112",
  "version": "v1",
  "published": "2001-05-13T19:21:07.000Z",
  "updated": "2001-05-13T19:21:07.000Z",
  "title": "Symplectic vs pseudo-Euclidean space-time with extra dimensions",
  "authors": [
    "Yu. F. Pirogov"
  ],
  "comment": "10 pages, LaTeX. Report presented at the XI-th Int. School \"Particles and Cosmology\", Baksan Valley, 18-24 April, 2001",
  "categories": [
    "hep-ph",
    "gr-qc"
  ],
  "abstract": "It is conjectured that the symplectic structure of space-time is superior to the metric one. Instead of the commonly adopted pseudo-orthogonal groups SO(1,d-1), d\\ge4, the complex symplectic ones Sp(2l,C), l\\ge1 are proposed as the local structure groups of the extended space-time. A discrete series of the metric space-times of the particular dimensionalities d=4l^2 and signatures, with l(2l-1) time and l(2l+1) spatial directions, defined over the set of the Hermitian second-rank spin-tensors is proposed as an alternative to the pseudo-Euclidean space-times with extra dimensions. The one-dimensional time-like direction remaining invariant under fixed boosts makes it possible the non-relativistic causality description despite the presence of extra times.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-05-13T19:21:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "extra dimensions",
      "pseudo-euclidean space-time",
      "non-relativistic causality description despite",
      "hermitian second-rank spin-tensors",
      "local structure groups"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 556510,
      "adsabs": "2001hep.ph....5112P"
    }
  }
}