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Probabilities in the inflationary multiverse

Jaume Garriga1, Delia Schwartz-Perlov2, Alexander Vilenkin2 and Sergei Winitzki3

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Inflationary cosmology leads to the picture of a 'multiverse', involving an infinite number of (spatially infinite) post-inflationary thermalized regions, called pocket universes. In the context of theories with many vacua, such as the landscape of string theory, the effective constants of Nature are randomized by quantum processes during inflation. We discuss an analytic estimate for the volume distribution of the constants within each pocket universe. This estimate is based on the conjecture that the field distribution is approximately ergodic in the diffusion regime, when the dynamics of the fields is dominated by quantum fluctuations (rather than by the classical drift). We then propose a method for determining the relative abundances of different kinds of pocket universes. Both ingredients are combined into an expression for the distribution of the constants in pocket universes of all types.


Keywords

quantum gravity phenomenology

inflation

string theory and cosmology

physics of the early universe

 

E-print Number: hep-th/0509184

Cited: by |

Refers: to

PACS

98.80.Bp Origin and formation of the Universe

11.25.-w Strings and branes

98.80.Jk Mathematical and relativistic aspects of cosmology

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

MSC

83E30 String and superstring theories (See also 81T30)

83F05 Cosmology

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 01 (January 2006)

Received 29 September 2005, accepted for publication 20 December 2005

Published 19 January 2006



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