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  1. Home
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  3. Causality, Measurement Theory and the Differentiable Structure of Space-Time
  • Cited by 6
  • R. N. Sen, Ben-Gurion University of the Negev, Israel
Publisher:
Cambridge University Press
Online publication date:
August 2010
Print publication year:
2010
Online ISBN:
9780511674761
DOI:
https://doi.org/10.1017/CBO9780511674761
Subjects:
Mathematics, Physics and Astronomy, Mathematical Physics, Theoretical Physics and Mathematical Physics
Series:
Cambridge Monographs on Mathematical Physics
Information

Book description

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.

Reviews

'Sen has written a superb book. It should be of special interest to any serious senior undergraduate or graduate student in theoretical physics, and to mathematical physicists and mathematicians working in quantum theory, quantum field theory, relativity, or the foundations of physics.'

Source: Mathematics Review

'A great deal of interesting historical material is included in these pages, some of it hard to find elsewhere … the book has a good claim for a place on library shelves.'

Source: Contemporary Physics

'… this is a book for a devoted reader with special interests in this area …'

Source: MAA Reviews

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