Black Holes, Space-Filling Chains and Random Walks

Details Black Holes, Space-Filling Chains and Random Walks Black Holes, Space-Filling Chains and Random Walks

2003-12-30

arxiv.org/abs/hep-th/0312311v3

Int.J.Mod.Phys. A21 (2006) 5793-5806

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 4 figures, 2 tables; v2 and v3: minor changes and refs. added

Scientific paper

10.1142/S0217751X06033982

Many approaches to a semiclassical description of gravity lead to an integer black hole entropy. In four dimensions this implies that the Schwarzschild radius obeys a formula which describes the distance covered by a Brownian random walk. For the higher-dimensional Schwarzschild-Tangherlini black hole, its radius relates similarly to a fractional Brownian walk. We propose a possible microscopic explanation for these random walk structures based on microscopic chains which fill the interior of the black hole.

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