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

R. N. Sen

ISBN 10: 0521880548 / ISBN 13: 9780521880541

Published by Cambridge University Press, 2010

About this Item

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Bibliographic Details

• Title: Causality, Measurement Theory and the Differentiable Structure of Space-Time
• Publisher: Cambridge University Press
• Publication Date: 2010
• Language: English
• ISBN 10: 0521880548
• ISBN 13: 9780521880541
• Binding: Hardback
• Condition: New
• Weight: 920 grams

About this title

Synopsis

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.

About the Author

R. N. Sen was a Professor in the Department of Mathematics at Ben-Gurion University, Beer-Sheva, Israel, and is now retired. His main research interests were the theory of symmetry of infinite quantum-mechanical systems and mathematical investigations into the relation between mathematics and physics, particularly the origins of the differentiable structure of space-time. He has taught a broad spectrum of courses on physics and mathematics, as well as demography. A life member of Clare Hall, Cambridge, he has been a Gauss Professor in Göttingen and is also a member of the International Association for Mathematical Physics and the Israel Mathematical Union.