Exotic Smoothness in Four Dimensions and Euclidean Quantum Gravity

Abstract

In this paper we calculate the effect of the inclusion of exotic smooth structures on typical observables in Euclidean quantum gravity. We do this in the semiclassical regime for several gravitational free-field actions and find that the results are similar, independent of the particular action that is chosen. These are the first results of their kind in dimension four, which we extend to include one-loop contributions as well. We find these topological features can have physically significant results without the need for additional exotic physics.

20 pages, 1 figure

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• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Einstein metrics and the number of smooth structures on a four-manifold
• Exotic Smoothness and Quantum Gravity

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