TL;DR
The paper discusses a model where the Universe's self-reproduction leads to a stationary distribution of properties, challenging the traditional Big Bang view by suggesting a persistent, unchanging volume distribution of different cosmic states.
Contribution
It introduces a framework for describing the self-reproduction of inflationary domains with a stationary probability distribution, a novel approach in inflationary cosmology.
Findings
Self-reproduction of inflationary domains can be described by a stationary distribution.
The fraction of the Universe's volume in specific states remains constant over time.
This model significantly deviates from the standard Big Bang paradigm.
Abstract
If the Universe contains at least one inflationary domain with a sufficiently large and homogeneous scalar field, then this domain permanently produces new inflationary domains of all possible types. 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. This represents a strong deviation of inflationary cosmology from the standard Big Bang paradigm.
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