arXiv 1306.38732013-06hep-thgr-qc

Fast Scramblers And Ultrametric Black Hole Horizons

Jose L. F. Barbon, Javier M. Magan

备注：: 14 pages, 2 figures. Two extra sections, one figure and references added
DOI：: 10.1007/JHEP11(2013)163

英文摘要：

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.

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