Cosmic Analogies How Natural Systems Emulate The Universe

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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, Omori's law for earthquake aftershocks, lava flows, and a few mathematical analogies (Fibonacci's 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.

Product Details :

Genre : Science
Author : Valerio Faraoni
Publisher : World Scientific
Release : 2022-07-20
File : 287 Pages
ISBN-13 : 9781800613447


Cosmic Analogies

eBook Download

BOOK EXCERPT:

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, Omori's law for earthquake aftershocks, lava flows, and a few mathematical analogies (Fibonacci's 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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Genre :
Author : Valerio Faraoni
Publisher : Wspc (Europe)
Release : 2022-07-20
File : 0 Pages
ISBN-13 : 1800613423


Seven Days Many Voices

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"This collection of 42 essays spans a wide range of thinking about Creation. Midrash, biblical criticism, literature, theology, climate justice, human rights, history, and science are just some of the fields through which the Creation story is examined"--

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Genre : Religion
Author : Benjamin David
Publisher : CCAR Press
Release : 2018-09-01
File : 365 Pages
ISBN-13 : 9780881232998


Social Science And Utopia

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Genre : Political Science
Author : Barbara Goodwin
Publisher :
Release : 1978
File : 240 Pages
ISBN-13 : STANFORD:36105035763700


Le Corbusier

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Le Corbusier has been one of the dominant forces in 20th century architecture, and many of the forms he created have become archetypes of modernism. This book provides a comprehensive survey that puts Le Corbusier's career into a balanced perspective.

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Genre : Architecture
Author : William J. R. Curtis
Publisher :
Release : 1986
File : 248 Pages
ISBN-13 : UCSC:32106007545400