Fractals and Scars on a Compact Octagon
General Relativity and Quantum Cosmology
2010-04-06 v1 Astrophysics
chao-dyn
Chaotic Dynamics
Abstract
A finite universe naturally supports chaotic classical motion. An ordered fractal emerges from the chaotic dynamics which we characterize in full for a compact 2-dimensional octagon. In the classical to quantum transition, the underlying fractal can persist in the form of scars, ridges of enhanced amplitude in the semiclassical wave function. Although the scarring is weak on the octagon, we suggest possible subtle implications of fractals and scars in a finite universe.
Cite
@article{arxiv.gr-qc/9909041,
title = {Fractals and Scars on a Compact Octagon},
author = {Janna Levin and John D. Barrow},
journal= {arXiv preprint arXiv:gr-qc/9909041},
year = {2010}
}
Comments
6 pages, 3 figs, LaTeX file