skip to main content

Title: Cosmic clustering

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. In conclusion, an equivalent mathematical structure organizes the state space of the Sherrington-Kirkpatrick model of a spin glass.
Authors:
 [1] ;  [2]
  1. Stanford Univ., Stanford, CA (United States)
  2. Univ. of Leuven, Leuven (Belgium); Harvard Univ., Cambridge, MA (United States)
Publication Date:
OSTI Identifier:
1326945
Grant/Contract Number:
FG02-91ER40654
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 6; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; Stochastic Processes; Random Systems; Cosmology of Theories beyond the SM