Dimensional reduction in causal set gravity

Results from a number of different approaches to quantum gravity suggest that the effective dimension of spacetime may drop to d = 2 at small scales. I show that two different dimensional estimators in causal set theory display the same behavior, and argue that a third, the spectral dimension, may e...

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Bibliographic Details
Published inClassical and quantum gravity Vol. 32; no. 23; pp. 232001 - 232007
Main Author Carlip, S
Format Journal Article
LanguageEnglish
Published United Kingdom IOP Publishing 09.11.2015
Subjects
Asymptotic properties
causal sets
dimensional reduction
Estimators
Gravitation
Quantum gravity
Set theory
Silence
Small scale
Spectra
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Summary:Results from a number of different approaches to quantum gravity suggest that the effective dimension of spacetime may drop to d = 2 at small scales. I show that two different dimensional estimators in causal set theory display the same behavior, and argue that a third, the spectral dimension, may exhibit a related phenomenon of 'asymptotic silence.'
Bibliography:CQG-102126
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
USDOE Office of Science (SC), High Energy Physics (HEP)
DE–FG02-91ER40674
ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/32/23/232001