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

Author: R. N. Sen

Publisher: Cambridge University Press

Published: 2010-02-11

Total Pages: 413

ISBN-13: 1139485377

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

Author: Rathindra Nath Sen

Publisher:

Published: 2010

Total Pages: 391

ISBN-13: 9780511674334

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

Author: R. N. Sen

Publisher: Cambridge University Press

Published: 2010-02-11

Total Pages: 412

ISBN-13: 9780521880541

DOWNLOAD EBOOK

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 Cosmological Singularity
The Cosmological Singularity

Author: Vladimir Belinski

Publisher: Cambridge University Press

Published: 2018

Total Pages: 279

ISBN-13: 1107047471

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This book mathematically derives the theory underlying the Belinski-Khalatnikov-Lifshitz conjecture on the general solution of the Einstein equations with a cosmological singularity.

Supersymmetry, Supergravity, and Unification
Supersymmetry, Supergravity, and Unification

Author: Pran Nath

Publisher: Cambridge University Press

Published: 2017

Total Pages: 539

ISBN-13: 0521197023

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This book offers a comprehensive discussion of developments at the interface of particle physics, supergravity, and cosmology, for graduates and researchers.

Extensions of f(R) Gravity
Extensions of f(R) Gravity

Author: Tiberiu Harko

Publisher: Cambridge University Press

Published: 2018-11-29

Total Pages: 475

ISBN-13: 110860028X

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Recent cosmological observations have posed a challenge for traditional theories of gravity: what is the force driving the accelerated expansion of the universe? What if dark energy or dark matter do not exist and what we observe is a modification of the gravitational interaction that dominates the universe at large scales? Various extensions to Einstein's General Theory of Relativity have been proposed, and this book presents a detailed theoretical and phenomenological analysis of several leading, modified theories of gravity. Theories with generalised curvature-matter couplings are first explored, followed by hybrid metric-Palatini gravity. This timely book first discusses key motivations behind the development of these modified gravitational theories, before presenting a detailed overview of their subsequent development, mathematical structure, and cosmological and astrophysical implications. Covering recent developments and with an emphasis on astrophysical and cosmological applications, this is the perfect text for graduate students and researchers.

Non-Inertial Frames and Dirac Observables in Relativity
Non-Inertial Frames and Dirac Observables in Relativity

Author: Luca Lusanna

Publisher: Cambridge University Press

Published: 2019-07-04

Total Pages: 339

ISBN-13: 110857419X

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Interpreting general relativity relies on a proper description of non-inertial frames and Dirac observables. This book describes global non-inertial frames in special and general relativity. The first part covers special relativity and Minkowski space time, before covering general relativity, globally hyperbolic Einstein space-time, and the application of the 3+1 splitting method to general relativity. The author uses a Hamiltonian description and the Dirac–Bergmann theory of constraints to show that the transition between one non-inertial frame and another is a gauge transformation, extra variables describing the frame are gauge variables, and the measureable matter quantities are gauge invariant Dirac observables. Point particles, fluids and fields are also discussed, including how to treat the problems of relative times in the description of relativistic bound states, and the problem of relativistic centre of mass. Providing a detailed description of mathematical methods, the book is perfect for theoretical physicists, researchers and students working in special and general relativity.

Mass Dimension One Fermions
Mass Dimension One Fermions

Author: Dharam Ahluwalia

Publisher: Cambridge University Press

Published: 2019-07-04

Total Pages: 137

ISBN-13: 1107094097

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Provides an overview of the eigenspinors of the charge conjugation operator and mass one dimension fermions.

Relativistic Fluid Dynamics in and out of Equilibrium
Relativistic Fluid Dynamics in and out of Equilibrium

Author: Paul Romatschke

Publisher: Cambridge University Press

Published: 2019-05-09

Total Pages: 207

ISBN-13: 1108483682

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Presents a powerful new framework for out-of-equilibrium hydrodynamics, with connections to kinetic theory, AdS/CFT and applications to high-energy particle collisions.