Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-12-19
Phys.Rev.Lett.86:4749-4752,2001
Physics
High Energy Physics
High Energy Physics - Theory
4 pages, 1 figure, minor changes in the text, two references added
Scientific paper
10.1103/PhysRevLett.86.4749
It is shown that the never ending oscillatory behaviour of the generic solution, near a cosmological singularity, of the massless bosonic sector of superstring theory can be described as a billiard motion within a simplex in 9-dimensional hyperbolic space. The Coxeter group of reflections of this billiard is discrete and is the Weyl group of the hyperbolic Kac-Moody algebra E$_{10}$ (for type II) or BE$_{10}$ (for type I or heterotic), which are both arithmetic. These results lead to a proof of the chaotic (``Anosov'') nature of the classical cosmological oscillations, and suggest a ``chaotic quantum billiard'' scenario of vacuum selection in string theory.
Damour Thibault
Henneaux Marc
No associations
LandOfFree
E_(10), BE_(10) and Arithmetical Chaos in Superstring Cosmology 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 E_(10), BE_(10) and Arithmetical Chaos in Superstring Cosmology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and E_(10), BE_(10) and Arithmetical Chaos in Superstring Cosmology will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-256426