Abstract
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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Anninos, D., Denef, F. Cosmic clustering. J. High Energ. Phys. 2016, 181 (2016). https://doi.org/10.1007/JHEP06(2016)181
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DOI: https://doi.org/10.1007/JHEP06(2016)181