Abstract
The usual theory of inflation breaks down in eternal inflation. We derive a dual description of eternal inflation in terms of a deformed Euclidean CFT located at the threshold of eternal inflation. The partition function gives the amplitude of different geometries of the threshold surface in the no-boundary state. Its local and global behavior in dual toy models shows that the amplitude is low for surfaces which are not nearly conformal to the round three-sphere and essentially zero for surfaces with negative curvature. Based on this we conjecture that the exit from eternal inflation does not produce an infinite fractal-like multiverse, but is finite and reasonably smooth.
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Hawking, S.W., Hertog, T. A smooth exit from eternal inflation?. J. High Energ. Phys. 2018, 147 (2018). https://doi.org/10.1007/JHEP04(2018)147
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DOI: https://doi.org/10.1007/JHEP04(2018)147