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Extreme Multivalued Waves as a Model of Everything : From Euler Figures to Faraday Waves, Particle-Waves and Universes / by Shamil Usmanovich Galiev.

Springer Nature - Springer Physics and Astronomy eBooks 2024 English International Available online

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Format:
Book
Author/Creator:
Galiev, Shamilʹ Usmanovich.
Series:
Physics and Astronomy Series
Language:
English
Subjects (All):
Earth sciences.
Environmental sciences.
Physics.
Mathematical physics.
Cosmology.
Acoustics.
Earth Sciences.
Environmental Physics.
Mathematical Physics.
Local Subjects:
Earth Sciences.
Environmental Physics.
Mathematical Physics.
Cosmology.
Acoustics.
Physical Description:
1 online resource (446 pages)
Edition:
1st ed. 2025.
Place of Publication:
Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Summary:
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.
Contents:
Part I. From Euler figures to Faraday waves and particle-waves
Chapter 1. Basic equations of scalar fields and examples of nonlinear waves arising in them
Chapter 2. Euler figures, unidirectional multivalued waves, quanta and vortices
Chapter 3. Waves in resonators: d’Alembert method and multivalued Faraday waves
Chapter 4. Particle-waves and quanta in resonant scalar fields, and classification of multivalued waves
Part II. From particle-waves to universes
Chapter 5. Resonant scalar fields, appearance of particles and galaxies
Chapter 6. Nonlinear quantum waves in the light of recent slit experiments
Chapter 7. Model of eruption of the Universe out of a pre-universe and its early evolution
Chapter 8. Everything is determined by everything.
Notes:
Description based on publisher supplied metadata and other sources.
ISBN:
9783031670275
3031670272
OCLC:
1503841130

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