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Dimensional reduction in causal set gravity

S. Carlip
(
- UC, Davis
)

Jun 29, 2015

7 pages

Published in:

Class.Quant.Grav. 32 (2015) 23, 232001

Published: Nov 9, 2015

e-Print:

1506.08775 [gr-qc]

DOI:

10.1088/0264-9381/32/23/232001

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Abstract: (IOP)

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.’

Note:

6+1 pages; v2: added references, cite of new result on spectral dimension; v3: minor corrections to match published version

space-time: dimension
dimension: spectral
causal set
dimensional reduction
quantum gravity
gravitation
set theory
estimator

References(36)

Figures(0)

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