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The measure for the multiverse and the probability for inflation

Miao Li and Yi Wang

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We investigate the measure problem in the framework of inflationary cosmology. The measure of the history space is constructed and applied to inflation models. Using this measure, it is shown that the probability for the generalized single-field slow roll inflation to last for N e-folds is suppressed by a factor exp(−3N), and the probability for the generalized n-field slow roll inflation is suppressed by a much larger factor, exp(−3nN). Some non-inflationary models such as the cyclic model do not suffer from this difficulty.


Keywords

quantum gravity phenomenology

inflation

physics of the early universe

PACS

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

MSC

83F05 Cosmology

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 06 (June 2007)

Received 13 April 2007, accepted for publication 19 May 2007

Published 11 June 2007



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