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The Small Scale Structure of Spacetime
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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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Cited by 1 Pith paper
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The arithmetic geometry of AdS$_2$ and its continuum limit
The paper constructs a continuum limit of the finite modular geometry AdS2[Z_N] by embedding it in a two-cutoff family and taking the two cutoffs to infinity along k-Fibonacci sequences.
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