Smal Scale Space Time
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a r X i v : 1 0 0 9 . 1 1 3 6 v 1 [ g r q c ] 6 S e p 2 0 1 0 November 2009 The Small Scale Structure of Spacetime S. Carlip 1 Department of Physics University of California Davis, CA 95616 USA Abstract Several lines of evidence hint that quan tum gravity at very small distances may be ef- fectively two-dimensional. I summarize the evidence for such “spontaneous dimensional reduction,” and suggest an additional argument coming from the strong-coupling limit of the Whee ler-DeWitt equati on. If this descri ption prov es to be correc t, it sugges ts a fascina ting relationsh ip between small- scale quantum spacet ime and the behavior of cosmologies near an asymptotically silent singularity. 1 email: [email protected]
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