Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-07-03
Physics
High Energy Physics
High Energy Physics - Theory
32 pages, 1 figure, LaTeX, Niels Bohr Institute preprint NBI-HE-93-11 (1993) (Contribution to Wendisch-Rietz meeting Sept.1992
Scientific paper
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 $n_{Weyl}^2$ dimensionized as the matrices in the Weyl equation equals the dimension $d$. So just in this dimension (in fact, also in a trivial case $d=1$) 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''.
Nielsen Holger Bech
Rugh Svend Erik
No associations
LandOfFree
Why Do We Live in 3+1 Dimensions? does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Why Do We Live in 3+1 Dimensions?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Why Do We Live in 3+1 Dimensions? will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-359319