Black Hole Entropy, Topological Entropy and the Baum-Connes Conjecture in K-Theory

Details Black Hole Entropy, Topological Entropy and the Baum-Connes Conjecture in K-Theory Black Hole Entropy, Topological Entropy and the Baum-Connes Conjecture in K-Theory

2001-09-21

arxiv.org/abs/math-ph/0109019v2

J.Phys.A35:3015,2002

Physics

Mathematical Physics

17 pages, Latex, contains an important paragraph in section 2 which gives a better understanding

Scientific paper

10.1088/0305-4470/35/12/321

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.

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