Cosmic clustering
Abstract
We show that the late time HartleHawking 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, treelike 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 SherringtonKirkpatrick model of a spin glass.
 Authors:

 Stanford Univ., Stanford, CA (United States)
 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:
 FG0291ER40654
 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 10298479
 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 HartleHawking 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, treelike 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 SherringtonKirkpatrick 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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