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Causality, Measurement Theory and the Differentiable Structure of Space-Time

Causality, Measurement Theory and the Differentiable Structure of Space-Time

Hardcover

Series: Cambridge Monographs on Mathematical Physics

Physics

Currently unavailable to order

ISBN10: 0521880548
ISBN13: 9780521880541
Publisher: Cambridge University Press
Published: Feb 11 2010
Pages: 412
Weight: 1.95
Height: 1.01 Width: 6.97 Depth: 9.84
Language: English
Introducing graduate students and researchers to mathematical physics, this book discusses two recent developments: the demonstration that causality can be defined on discrete space-times; and Sewell's measurement theory, in which the wave packet is reduced without recourse to the observer's conscious ego, nonlinearities or interaction with the rest of the universe. The definition of causality on a discrete space-time assumes that space-time is made up of geometrical points. Using Sewell's measurement theory, the author concludes that the notion of geometrical points is as meaningful in quantum mechanics as it is in classical mechanics, and that it is impossible to tell whether the differential calculus is a discovery or an invention. Providing a mathematical discourse on the relation between theoretical and experimental physics, the book gives detailed accounts of the mathematically difficult measurement theories of von Neumann and Sewell.

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