Systolic Aspects of Black Hole Entropy

Systolic Aspects of Black Hole Entropy

Blog Article

We attempt to provide a mesoscopic treatment of the origin of black hole entropy in navy drapery fabric (3 + 1)-dimensional spacetimes.We ascribe this entropy to the non-trivial topology of the space-like sections Σ of the horizon.This is not forbidden by topological censorship, since all the known energy inequalities needed to prove the spherical topology of Σ are violated in quantum theory.

We choose the systoles of Σ to encode its complexity, which gives rise to the black hole entropy.We present hand-waving reasons why the entropy of the black hole can be considered as a function of the skeleton yard stakes volume entropy of Σ.We focus on the limiting case of Σ having a large genus.