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Spontaneous Dimensional Reduction in Short-Distance Quantum Gravity?

arXiv:0909.3329 · doi:10.1063/1.3284402

Abstract

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.

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