Mutations of a fractal broth called "Multiverse" - about the inflationary model of Andrei Linde and Alan Guth

Abstract: the material describes the problems of the model of a hot Universe, considers the inflationary models of Alan Gut and Andrei Linde, as a result of which a conclusion is made about the feasibility of the hypothesis of the Multiverse, its meaning and self-similarity.

Foreword

When choosing a topic for this material, I decided that it was time for me to talk with my readers about mathematics, as it was in the article about Fermat's Last Theorem, and on the advice of a professor I know, my eyes fell on fractals. A fractal is a set that has the property of self-similarity. When scaling, any part of a fractal represents the fractal itself. As an example of a fractal, I will cite the Cantor set, which was described in 1883 by Georg Cantor. The set begins with a segment of a certain length, and each subsequent segment is a third of the previous one, and there are two such segments in the "line", and they are separated by a distance of the same segment. No matter how much we scale this set, it will always resemble its original appearance. It looks like this:

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