Black Hole Entropy, Topological Entropy and the Baum-Connes Conjecture in K-Theory
Mathematical Physics
2008-11-26 v2 math.MP
Abstract
We shall try to exhibit a relation between black hole entropy and topological entropy using the famous Baum-Connes conjecture for foliated manifolds which are particular examples of noncommutative spaces. Our argument is qualitative and it is based on the microscopic origin of the Beckenstein-Hawking area-entropy formula for black holes, provided by superstring theory, in the more general noncommutative geometric context of M-Theory following the Connes- Douglas-Schwarz article.
Cite
@article{arxiv.math-ph/0109019,
title = {Black Hole Entropy, Topological Entropy and the Baum-Connes Conjecture in K-Theory},
author = {Ioannis P. Zois},
journal= {arXiv preprint arXiv:math-ph/0109019},
year = {2008}
}
Comments
17 pages, Latex, contains an important paragraph in section 2 which gives a better understanding