Extreme Multivalued Waves as a Model of Everything: From Euler Figures to Faraday Waves, Particle-Waves...

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Shamil Usmanovich Galiev

Extreme Multivalued Waves as a Model of Everything

From Euler Figures to Faraday Waves, Particle-Waves and Universes

Shamil Usmanovich Galiev

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English

Springer International Publishing AG
20 February 2025

Cosmology & the universe; Mathematical physics; Applied physics; Earth sciences; The environment

The purpose of the book is a mathematical and experimental study of extreme, multivalued waves based on scalar field equations. It is known that Einstein tried to build a unified (interdisciplinary) field theory that would unite all interactions in Nature into a single system. The book uses this idea, supplemented by the idea that all fundamental interactions have a wave, resonant, nonlinear nature. The theoretical foundation of the book also consists of the results of Leonard Euler.

Fundamental questions about the polysemy of Nature are considered. On this basis, various highly nonlinear wave processes are modeled, ranging from waves in resonators and ocean waves to descriptions of particle-waves, the origin of the Universe and data from double-slit experiments. Gravitational and inertial effects are associated with solutions of relativistic wave equations. According to the book, the unsolved nature of some fundamental problems in physics is explained by the nonlinear and resonant nature of the world around us, which exists in a non-smooth and inhomogeneous space-time.

We do not know how strong the influence of multivalued wave processes on the Universe is. This book is the first attempt to assess this influence. At the same time, the extreme waves considered in this book may be applied to different technologies and systems ranging from the atomic scale to the cosmos.

With this book, the author celebrates the 100th anniversary of the beginning of the development of quantum mechanics and modern cosmology.

By: Shamil Usmanovich Galiev
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 2024 ed.
Dimensions: Height: 235mm, Width: 155mm,
ISBN: 9783031670268
ISBN 10: 3031670264
Pages: 392
Publication Date: 20 February 2025
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Shamil Usmanovich Galiev was born on April 18, 1942 in Kazan, Tatar Republic (Russia) and is the son of Usman Zakirovich Galiev and his wife Ajar Khayrutdinovna Valitova. He was a researcher in the Academy Sciences of SSSR, Kazan in 1965–1972 and in Academy Sciences Ukraine, Kiev in 1972–1981, a head of the department in Academy Sciences Ukraine, Kiev in 1981–1995, a professor in Kiev Politech. U. in 1986–1989 and a visiting professor at Brown U., Providence in 1992. Since 1996, he has been a professor and honorary academician at the University of Auckland, New Zealand.