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Title: Cosmic clustering

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. 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:
Research Org.:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1326945
Grant/Contract Number:  
FG02-91ER40654
Resource 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
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; Stochastic Processes; Random Systems; Cosmology of Theories beyond the SM

Citation Formats

Anninos, Dionysios, and Denef, Frederik. Cosmic clustering. United States: N. p., 2016. Web. doi:10.1007/JHEP06(2016)181.
Anninos, Dionysios, & Denef, Frederik. Cosmic clustering. United States. doi:10.1007/JHEP06(2016)181.
Anninos, Dionysios, and Denef, Frederik. Thu . "Cosmic clustering". United States. doi:10.1007/JHEP06(2016)181. https://www.osti.gov/servlets/purl/1326945.
@article{osti_1326945,
title = {Cosmic clustering},
author = {Anninos, Dionysios and Denef, Frederik},
abstractNote = {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.},
doi = {10.1007/JHEP06(2016)181},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2016,
place = {United States},
year = {2016},
month = {6}
}

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Cited by: 1 work
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