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Cosmic Analogies: How Natural Systems Emulate The Universe, Valerio Faraoni


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Автор: Valerio Faraoni
Название:  Cosmic Analogies: How Natural Systems Emulate The Universe
ISBN: 9781800613423
Издательство: World Scientific Publishing
Классификация:
ISBN-10: 1800613423
Обложка/Формат: Hardback
Страницы: 288
Вес: 0.00 кг.
Дата издания: 02.09.2022
Серия: Physics
Язык: English
Размер: 159 x 237 x 16
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Cosmology & the universe, SCIENCE / Cosmology,SCIENCE / Earth Sciences / General
Рейтинг:
Поставляется из: Англии
Описание: This book discusses analogies between relativistic cosmology and various physical systems or phenomena, mostly in the earth sciences, that are described formally by the same equations. Of the two independent equations describing the universe as a whole, one (the Friedmann equation) has the form of an energy conservation equation for one-dimensional motion. The second equation is fairly easy to satisfy (although not automatic): as a result, cosmology lends itself to analogies with several systems. Given that a variety of universes are mathematically possible, several analogies exist. Analogies discussed in this book include equilibrium beach profiles, glacial valleys, the shapes of glaciers, heating/cooling models, freezing bodies of water, capillary fluids, Omoris law for earthquake aftershocks, lava flows, and a few mathematical analogies (Fibonaccis sequence, logistic equation, geodesics of various spaces, and classic variational problems). A century of research in cosmology can solve problems on the other side of an analogy, which in turn can suggest ideas in gravity. Finding a cosmic analogy solves the inverse variational problem of finding a Lagrangian and a Hamiltonian for that system, when nobody thought one exists. Often, the symmetries of the cosmological equations translate in new symmetries of the analogous system. The book surprises the reader with analogies between natural systems and exotic systems such as possible universes.


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