Modular curves, C* algebras, and chaotic cosmology
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We make some brief remarks on the relation of the mixmaster universe model of chaotic cosmology to the geometry of modular curves and to noncommutative geometry. In particular we consider a class of solutions with bounded number of cycles in each Kasner era and describe their dynamical properties, which we relate to the noncommutative geometry of a moduli space of such solutions, given by a Cuntz-Krieger C*-algebra.
Keywords
Cite
@article{arxiv.math-ph/0312035,
title = {Modular curves, C* algebras, and chaotic cosmology},
author = {Matilde Marcolli},
journal= {arXiv preprint arXiv:math-ph/0312035},
year = {2007}
}
Comments
12 pages LaTeX, one eps figure