Causality Measurement Theory And The Differentiable Structure Of Space Time

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Causality Measurement Theory And The Differentiable Structure Of Space Time

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Author : R. N. Sen
language : en
Publisher: Cambridge University Press
Release Date : 2010-02-11

Causality Measurement Theory And The Differentiable Structure Of Space Time written by R. N. Sen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-11 with Science categories.

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.

Causality Measurement Theory And The Differentiable Structure Of Space Time

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Author : Rathindra Nath Sen
language : en
Publisher:
Release Date : 2010

Causality Measurement Theory And The Differentiable Structure Of Space Time written by Rathindra Nath Sen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Electronic book categories.

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.

The Large Scale Structure Of Space Time

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Author : Stephen W. Hawking
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-16

The Large Scale Structure Of Space Time written by Stephen W. Hawking and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-16 with Science categories.

This influential work explores Einstein's General Theory of Relativity and its predictions relating to singularities in space-time.

Classical Measurements In Curved Space Times

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Author : Fernando de Felice
language : en
Publisher: Cambridge University Press
Release Date : 2010-07-29

Classical Measurements In Curved Space Times written by Fernando de Felice and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-29 with Science categories.

The theory of relativity describes the laws of physics in a given space-time. However, a physical theory must provide observational predictions expressed in terms of measurements, which are the outcome of practical experiments and observations. Ideal for readers with a mathematical background and a basic knowledge of relativity, this book will help readers understand the physics behind the mathematical formalism of the theory of relativity. It explores the informative power of the theory of relativity, and highlights its uses in space physics, astrophysics and cosmology. Readers are given the tools to pick out from the mathematical formalism those quantities that have physical meaning and which can therefore be the result of a measurement. The book considers the complications that arise through the interpretation of a measurement, which is dependent on the observer who performs it. Specific examples of this are given to highlight the awkwardness of the problem.

Conformal Methods In General Relativity

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Author : Juan A. Valiente Kroon
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-09

Conformal Methods In General Relativity written by Juan A. Valiente Kroon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-09 with Science categories.

This 2016 volume, now reissued as OA, shows how conformal methods can be used to study Einstein's theory of gravity.

Hamiltonian Mechanics Of Gauge Systems

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Author : Lev V. Prokhorov
language : en
Publisher: Cambridge University Press
Release Date : 2011-09-22

Hamiltonian Mechanics Of Gauge Systems written by Lev V. Prokhorov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Science categories.

The principles of gauge symmetry and quantization are fundamental to modern understanding of the laws of electromagnetism, weak and strong subatomic forces and the theory of general relativity. Ideal for graduate students and researchers in theoretical and mathematical physics, this unique book provides a systematic introduction to Hamiltonian mechanics of systems with gauge symmetry. The book reveals how gauge symmetry may lead to a non-trivial geometry of the physical phase space and studies its effect on quantum dynamics by path integral methods. It also covers aspects of Hamiltonian path integral formalism in detail, along with a number of related topics such as the theory of canonical transformations on phase space supermanifolds, non-commutativity of canonical quantization and elimination of non-physical variables. The discussion is accompanied by numerous detailed examples of dynamical models with gauge symmetries, clearly illustrating the key concepts.

Formulations Of General Relativity

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Author : Kirill Krasnov
language : en
Publisher: Cambridge University Press
Release Date : 2020-11-26

Formulations Of General Relativity written by Kirill Krasnov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-26 with Science categories.

Carefully documenting the different formulations of general relativity, the author reveals valuable insight into the nature of the gravitational force and its interaction with matter. This book will interest graduate students and researchers in the fields of general relativity, gravitational physics and differential geometry.

Particle Physics Of Brane Worlds And Extra Dimensions

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Author : Sreerup Raychaudhuri
language : en
Publisher: Cambridge University Press
Release Date : 2016-04-25

Particle Physics Of Brane Worlds And Extra Dimensions written by Sreerup Raychaudhuri and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-25 with Science categories.

A comprehensive account of new models of extra dimensions which form an important part of present-day high-energy physics.

Mathematics Of Quantization And Quantum Fields

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Author : Jan Dereziński
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-09

Mathematics Of Quantization And Quantum Fields written by Jan Dereziński and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-09 with Science categories.

This 2013 book, now OA, offers a definitive review of mathematical aspects of quantization and quantum field theory.

Tau Functions And Their Applications

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Author : John Harnad
language : en
Publisher: Cambridge University Press
Release Date : 2021-02-04

Tau Functions And Their Applications written by John Harnad and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-04 with Mathematics categories.

A thorough introduction to tau functions, from the basics through to the most recent results, with applications in mathematical physics.