Cosmic Clustering
High Energy Physics - Theory
2011-11-28 v1 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.1111.6061,
title = {Cosmic Clustering},
author = {Dionysios Anninos and Frederik Denef},
journal= {arXiv preprint arXiv:1111.6061},
year = {2011}
}
Comments
12 pages, 2 figures