The Small Scale Structure of Spacetime

Details The Small Scale Structure of Spacetime The Small Scale Structure of Spacetime

2010-09-06

arxiv.org/abs/1009.1136v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, two eps figures; to appear in Foundations of Space and Time, edited by George Ellis, Jeff Murugan, Amanda Weltman (C

Scientific paper

Several lines of evidence hint that quantum gravity at very small distances may be effectively two-dimensional. I summarize the evidence for such ``spontaneous dimensional reduction,'' and suggest an additional argument coming from the strong-coupling limit of the Wheeler-DeWitt equation. If this description proves to be correct, it suggests a fascinating relationship between small-scale quantum spacetime and the behavior of cosmologies near an asymptotically silent singularity.

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