Abstract

A few months ago, the Max Planck Institute (Dresden, Germany) organized an International Seminar for outstanding researchers of such a remarkable phenomenon as “extreme waves”. The seminar was led by such famous professors as Nail Akhdiev (Australian National University, Canberra, Australia) [1], Helmut Brand (University of Bayreuth, Germany) [2] and Amin Chabchub (Kyoto University, Japan) [3]. Thе phenomenon of "Extreme waves" is remarkable since widely spread in Nature, and at the same time it is used widely in technology. In particular it is used in modern optical communications (nonlinear optics). The results of the Workshop are widely discussed by experts. They preview promising new directions springing from group efforts. This article is a review of my seminar presentation. At the same time, it includes some results of my book, which is being prepared for publication. The main outlines of this book are outlined by Marat Aksanovich Ilgamov in his article [5]. The book is devoted to multivalued waves existing in various scalar fields. An attempt is made to describe, on this basis, the entire variety of fundamental physical phenomena of the world around us, starting with quantum phenomena and ending with the emergence and initial development of the Universe. It is known that Einstein tried to build a unified (interdisciplinary) field theory that would unite all interactions in nature into a single system. My report to Dresden made an attempt to use this idea, which was developed in the mentioned book and this article. The first three parts of this article examine the stability of Richtmyer–Meshkov and Faraday waves. The last part discusses the theory of the origin of the Universe proposed in [4, 12]. The birth of galaxies in the first moments of the process of spherical expansion of our Universe is associated with the Richtmyer–Meshkov instability.

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