Fractals and Scars on a Compact Octagon

Details Fractals and Scars on a Compact Octagon Fractals and Scars on a Compact Octagon

1999-09-14

arxiv.org/abs/gr-qc/9909041v1

Class.Quant.Grav.17:L61-L68,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, 3 figs, LaTeX file

Scientific paper

10.1088/0264-9381/17/6/101

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.

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