Cosmic Clustering

Details Cosmic Clustering Cosmic Clustering

2011-11-25

arxiv.org/abs/1111.6061v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 2 figures

Scientific paper

We show that the late time Hartle-Hawking wave function for a free massless scalar in a fixed de Sitter background encodes a sharp ultrametric structure for the standard Euclidean distance on the space of field configurations. This implies a hierarchical, tree-like organization of the state space, reflecting its genesis as a branched diffusion process. An equivalent mathematical structure organizes the state space of the Sherrington-Kirkpatrick model of a spin glass.

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