Fast Scramblers And Ultrametric Black Hole Horizons
High Energy Physics - Theory
2015-06-16 v2 General Relativity and Quantum Cosmology
Abstract
We propose that fast scrambling on finite-entropy stretched horizons can be modeled by a diffusion process on an effective ultrametric geometry. A scrambling time scaling logarithmically with the entropy is obtained when the elementary transition rates saturate causality bounds on the stretched horizon. The so-defined ultrametric diffusion becomes unstable in the infinite-entropy limit. A formally regularized version can be shown to follow a particular case of the Kohlrausch law.
Keywords
Cite
@article{arxiv.1306.3873,
title = {Fast Scramblers And Ultrametric Black Hole Horizons},
author = {Jose L. F. Barbon and Javier M. Magan},
journal= {arXiv preprint arXiv:1306.3873},
year = {2015}
}
Comments
14 pages, 2 figures. Two extra sections, one figure and references added