Causality, measurement theory and the differentiable structure of space-time / Rathindra Nath Sen.

By:

Sen, Rathindra Nath

Material type: Text

TextSeries: Cambridge monographs on mathematical physicsPublication details: Cambridge : Cambridge University Press, 2010.Description: 1 online resource (xx, 391 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9780511675522
0511675526
9780511672279
0511672276
0521880548
9780521880541
9780511674761
0511674767
9781107424586
1107424585
1107211069
9781107211063
1282547038
9781282547032
9786612547034
6612547030
0511674333
9780511674334
0511670990
9780511670992

Subject(s):

Genre/Form:

Additional physical formats: Print version:: Causality, measurement theory and the differentiable structure of space-time.DDC classification:

530.15 22

LOC classification:

QC20 .S46 2010eb

Online resources:

Click here to access online

Contents:

pt. 1. Causality and differentiable structure -- pt. 2. Geometrical points and measurement theory.

Summary: 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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Includes bibliographical references and index.

Print version record.

pt. 1. Causality and differentiable structure -- pt. 2. Geometrical points and measurement theory.

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.

English.

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