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From the Big Bang Theory to the Theory of a Stationary Universe
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We consider chaotic inflation in the theories with the effective potentials phi^n and e^{\alpha\phi}. In such theories inflationary domains containing sufficiently large and homogeneous scalar field \phi permanently produce new inflationary domains of a similar type. We show that under certain conditions this process of the self-reproduction of the Universe can be described by a stationary distribution of probability, which means that the fraction of the physical volume of the Universe in a state with given properties (with given values of fields, with a given density of matter, etc.) does not depend on time, both at the stage of inflation and after it. This represents a strong deviation of inflationary cosmology from the standard Big Bang paradigm. We compare our approach with other approaches to quantum cosmology, and illustrate some of the general conclusions mentioned above with the results of a computer simulation of stochastic processes in the inflationary Universe.
Forward citations
Cited by 13 Pith papers
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The Lorentzian Geometry of Tunneling in Global de Sitter at Late Time
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Time-reversed stochastic inflation in the quantum well
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STOchastic LAttice Simulation of hybrid inflation
In hybrid inflation, stochastic noise breaks topological defects into sub-Hubble-scale structures, and only the n=1 case leaves a global imprint on the curvature perturbation.
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Deviations from Gaussian White Noise in Stochastic Inflation
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Stochastic inflation with Gauss-Bonnet coupling to the inflaton yields first-passage-time estimates of the scalar power spectrum and PBH mass fraction in slow-roll and ultra-slow-roll limits.
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