Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-10-09
Phys.Rev.D81:083525,2010
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, minor changes
Scientific paper
10.1103/PhysRevD.81.083525
We argue that the total number of distinguishable locally Friedmann universes generated by eternal inflation is proportional to the exponent of the entropy of inflationary perturbations and is limited by e^{e^{3 N}}, where N is the number of e-folds of slow-roll post-eternal inflation. For simplest models of chaotic inflation, N is approximately equal to de Sitter entropy at the end of eternal inflation; it can be exponentially large. However, not all of these universes can be observed by a local observer. In the presence of a cosmological constant \Lambda the number of distinguishable universes is bounded by e^{|\Lambda|^{-3/4}}. In the context of the string theory landscape, the overall number of different universes is expected to be exponentially greater than the total number of vacua in the landscape. We discuss the possibility that the strongest constraint on the number of distinguishable universes may be related not to the properties of the multiverse but to the properties of observers.
Linde Andrei
Vanchurin Vitaly
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