Black Holes, Space-Filling Chains and Random Walks
arXiv:hep-th/0312311 · doi:10.1142/S0217751X06033982
Abstract
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.
18 pages, 4 figures, 2 tables; v2 and v3: minor changes and refs. added
References in corpus (5)
- Heterotic Moduli Stabilization with Fractional Chern-Simons Invariants
- De Sitter Vacua from Heterotic M-Theory
- Vacuum Stability in Heterotic M-Theory
- Enlarging the Parameter Space of Heterotic M-Theory Flux Compactifications to Phenomenological Viability
- On the Bekenstein-Hawking Entropy, Non-Commutative Branes and Logarithmic Corrections