中文

Why Do We Live in 3+1 Dimensions?

高能物理 - 理论 2009-09-25 v1

摘要

Noticing that really the fermions of the Standard Model are best thought of as Weyl - rather than Dirac - particles (relative to fundamental scales located at some presumably very high energies) it becomes interesting that the experimental space-time dimension is singled out by the Weyl equation: It is observed that precisely in the experimentally true space-time dimensionality 4=3+1 the number of linearly independent matrices nWeyl2n_{Weyl}^2 dimensionized as the matrices in the Weyl equation equals the dimension dd. So just in this dimension (in fact, also in a trivial case d=1d=1) do the sigma-matrices of the Weyl-equation form a basis. It is also characteristic for this dimension that there is no degeneracy of helicity states of the Weyl spinor for all nonzero momenta. We would like to interpret these features to signal a special ``form stability'' of the Weyl equation in the phenomenologically true dimension of space-time. In an attempt of making this stability to occur in an as large as possible basin of allowed modifications we discuss whether it is possible to define what we could possibly mean by ``stability of Natural laws''.

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引用

@article{arxiv.hep-th/9407011,
  title  = {Why Do We Live in 3+1 Dimensions?},
  author = {Holger Bech Nielsen and Svend Erik Rugh},
  journal= {arXiv preprint arXiv:hep-th/9407011},
  year   = {2009}
}

备注

32 pages, 1 figure, LaTeX, Niels Bohr Institute preprint NBI-HE-93-11 (1993) (Contribution to Wendisch-Rietz meeting Sept.1992. Edited by B. D\"{o}rfel and W. Wieczorek, DESY 93-013 preprint, ISSN 0418-9833)