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Cosmic Analogies: How Natural Systems Emulate The Universe (Hardcover)
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Cosmic Analogies: How Natural Systems Emulate The Universe (Hardcover)
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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.
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