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arXiv · 1306.3873

Fast Scramblers And Ultrametric Black Hole Horizons

Jose L. F. Barbon·Javier M. Magan
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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.

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Jose L. F. Barbon, Javier M. Magan. 2013-10-30. Fast Scramblers And Ultrametric Black Hole Horizons. https://doi.org/10.1007/jhep11(2013)163

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