Cosmic clustering

Anninos, Dionysios; Denef, Frederik

doi:10.1007/JHEP06(2016)181

Title: Cosmic clustering

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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:

Anninos, Dionysios ^[1]; Denef, Frederik ^[2]

Stanford Univ., Stanford, CA (United States)
Univ. of Leuven, Leuven (Belgium); Harvard Univ., Cambridge, MA (United States)

Publication Date:: Thu Jun 30 00:00:00 EDT 2016

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

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                    Anninos, Dionysios, and Denef, Frederik. Cosmic clustering.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP06(2016)181.

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                    Anninos, Dionysios, & Denef, Frederik. Cosmic clustering.  United States.  https://doi.org/10.1007/JHEP06(2016)181

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                    Anninos, Dionysios, and Denef, Frederik. Thu .  
"Cosmic clustering".  United States.  https://doi.org/10.1007/JHEP06(2016)181.  https://www.osti.gov/servlets/purl/1326945.

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@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         = {Thu Jun 30 00:00:00 EDT 2016},

  month        = {Thu Jun 30 00:00:00 EDT 2016}

}

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