The grainy multiverse

Details The grainy multiverse The grainy multiverse

2011-02-04

arxiv.org/abs/1102.1007v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 7 figures

Scientific paper

I consider a landscape containing three vacua and study the topology of global spacelike slices in eternal inflation. A discrete toy model, which generalizes the well studied Mandelbrot model, reveals a rich phase structure. Novel phases include monochromatic tubular phases, which contain crossing curves of only one vacuum, and a democratic tubular phase, which contains crossing curves of all three types of vacua. I discuss the generalization to realistic landscapes consisting of many vacua. Generically, the system ends up in a grainy phase, which contains no crossing curves or surfaces and consists of packed regions of different vacua. Other topological phases arise on the scale of several generations of nucleations.

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