Echoes of asymptotic silence in causal set quantum gravity
We explore the idea of asymptotic silence in causal set theory and find that causal sets approximated by continuum spacetimes exhibit behavior akin to asymptotic silence. We make use of an intrinsic definition of spatial distance between causal set elements in the discrete analogue of a spatial hype...
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| Main Authors: | , , |
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| Format: | Article (Journal) Editorial |
| Language: | English |
| Published: |
20 July 2017
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| In: |
Classical and quantum gravity
Year: 2017, Volume: 34, Issue: 16, Pages: ? |
| ISSN: | 1361-6382 |
| DOI: | 10.1088/1361-6382/aa7d1b |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1088/1361-6382/aa7d1b Verlag, Volltext: http://stacks.iop.org/0264-9381/34/i=16/a=16LT01 
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| Author Notes: | Astrid Eichhorn, Sebastian Mizera and Sumati Surya |
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| 520 | |a We explore the idea of asymptotic silence in causal set theory and find that causal sets approximated by continuum spacetimes exhibit behavior akin to asymptotic silence. We make use of an intrinsic definition of spatial distance between causal set elements in the discrete analogue of a spatial hypersurface. Using numerical simulations for causal sets approximated by ##IMG## [http://ej.iop.org/images/0264-9381/34/16/16LT01/cqgaa7d1bieqn001.gif] $ \newcommandṃD \dm=2, 3$ and 4 dimensional Minkowski spacetime, we show that while the discrete distance rapidly converges to the continuum distance at a scale roughly an order of magnitude larger than the discreteness scale, it is significantly larger on small scales. This allows us to define an effective dimension which exhibits dimensional reduction in the ultraviolet, while monotonically increasing to the continuum dimension with increasing continuum distance. We interpret these findings as manifestations of asymptotic silence in causal set theory. | ||
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