Spontaneous Dimensional Reduction in Short-Distance Quantum Gravity?

Several lines of evidence suggest that quantum gravity at very short distances may behave effectively as a two‐dimensional theory. I summarize these hints, and offer an additional argument based on the strong‐coupling limit of the Wheeler‐DeWitt equation. The resulting scenario suggests a novel approach to quantum gravity at the Planck scale.

Note:

9 pages, aip macros. Invited talk at the XXV Max Born Symposium, "Physics at the Planck scale," Wroclaw (Poland), June 29--July 3, 2009; to appear in the Proceedings

04.60.-m
02.40.Vh
04.60.Kz
04.60.Nc
04.60.Ds
quantum gravity
Planck scale
dimensional reduction
Quantum gravity
scale: Planck

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