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.


Book Synopsis Causality, Measurement Theory and the Differentiable Structure of Space-Time by : R. N. Sen

Download or read book Causality, Measurement Theory and the Differentiable Structure of Space-Time written by R. N. Sen and published by Cambridge University Press. This book was released on 2010-02-11 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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: 9781107211063

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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.


Book Synopsis Causality, Measurement Theory and the Differentiable Structure of Space-time by : Rathindra Nath Sen

Download or read book Causality, Measurement Theory and the Differentiable Structure of Space-time written by Rathindra Nath Sen and published by . This book was released on 2010 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

The Large Scale Structure of Space-Time

Author: Stephen W. Hawking

Publisher: Cambridge University Press

Published: 2023-02-16

Total Pages: 414

ISBN-13: 1009253182

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First published in 1973, this influential work discusses Einstein's General Theory of Relativity to show how two of its predictions arise: first, that the ultimate fate of many massive stars is to undergo gravitational collapse to form 'black holes'; and second, that there was a singularity in the past at the beginning of the universe. Starting with a precise formulation of the theory, including the necessary differential geometry, the authors discuss the significance of space-time curvature and examine the properties of a number of exact solutions of Einstein's field equations. They develop the theory of the causal structure of a general space-time, and use it to prove a number of theorems establishing the inevitability of singularities under certain conditions. A Foreword contributed by Abhay Ashtekar and a new Preface from George Ellis help put the volume into context of the developments in the field over the past fifty years.


Book Synopsis The Large Scale Structure of Space-Time by : Stephen W. Hawking

Download or read book The Large Scale Structure of Space-Time written by Stephen W. Hawking and published by Cambridge University Press. This book was released on 2023-02-16 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1973, this influential work discusses Einstein's General Theory of Relativity to show how two of its predictions arise: first, that the ultimate fate of many massive stars is to undergo gravitational collapse to form 'black holes'; and second, that there was a singularity in the past at the beginning of the universe. Starting with a precise formulation of the theory, including the necessary differential geometry, the authors discuss the significance of space-time curvature and examine the properties of a number of exact solutions of Einstein's field equations. They develop the theory of the causal structure of a general space-time, and use it to prove a number of theorems establishing the inevitability of singularities under certain conditions. A Foreword contributed by Abhay Ashtekar and a new Preface from George Ellis help put the volume into context of the developments in the field over the past fifty years.

Classical Measurements in Curved Space-Times

Classical Measurements in Curved Space-Times

Author: Fernando de Felice

Publisher: Cambridge University Press

Published: 2010-07-29

Total Pages: 326

ISBN-13: 1139491598

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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.


Book Synopsis Classical Measurements in Curved Space-Times by : Fernando de Felice

Download or read book Classical Measurements in Curved Space-Times written by Fernando de Felice and published by Cambridge University Press. This book was released on 2010-07-29 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Theory and Applications of Instanton Calculations

The Theory and Applications of Instanton Calculations

Author: Manu Paranjape

Publisher: Cambridge University Press

Published: 2017-11-16

Total Pages: 325

ISBN-13: 110854763X

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Instantons, or pseudoparticles, are solutions to the equations of motion in classical field theories on a Euclidean spacetime. Instantons are found everywhere in quantum theories as they have many applications in quantum tunnelling. Diverse physical phenomena may be described through quantum tunnelling, for example: the Josephson effect, the decay of meta-stable nuclear states, band formation in tight binding models of crystalline solids, the structure of the gauge theory vacuum, confinement in 2+1 dimensions, and the decay of superheated or supercooled phases. Drawing inspiration from Sidney Coleman's Erice lectures, this volume provides an accessible, detailed introduction to instanton methods, with many applications, making it a valuable resource for graduate students in many areas of physics, from condensed matter, particle and nuclear physics, to string theory.


Book Synopsis The Theory and Applications of Instanton Calculations by : Manu Paranjape

Download or read book The Theory and Applications of Instanton Calculations written by Manu Paranjape and published by Cambridge University Press. This book was released on 2017-11-16 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instantons, or pseudoparticles, are solutions to the equations of motion in classical field theories on a Euclidean spacetime. Instantons are found everywhere in quantum theories as they have many applications in quantum tunnelling. Diverse physical phenomena may be described through quantum tunnelling, for example: the Josephson effect, the decay of meta-stable nuclear states, band formation in tight binding models of crystalline solids, the structure of the gauge theory vacuum, confinement in 2+1 dimensions, and the decay of superheated or supercooled phases. Drawing inspiration from Sidney Coleman's Erice lectures, this volume provides an accessible, detailed introduction to instanton methods, with many applications, making it a valuable resource for graduate students in many areas of physics, from condensed matter, particle and nuclear physics, to string theory.

Formulations of General Relativity

Formulations of General Relativity

Author: Kirill Krasnov

Publisher: Cambridge University Press

Published: 2020-11-26

Total Pages: 391

ISBN-13: 1108481647

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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.


Book Synopsis Formulations of General Relativity by : Kirill Krasnov

Download or read book Formulations of General Relativity written by Kirill Krasnov and published by Cambridge University Press. This book was released on 2020-11-26 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Routledge Companion to Philosophy of Physics

The Routledge Companion to Philosophy of Physics

Author: Eleanor Knox

Publisher: Routledge

Published: 2021-09-28

Total Pages: 787

ISBN-13: 131722714X

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The Routledge Companion to Philosophy of Physics is a comprehensive and authoritative guide to the state of the art in the philosophy of physics. It comprisess 54 self-contained chapters written by leading philosophers of physics at both senior and junior levels, making it the most thorough and detailed volume of its type on the market – nearly every major perspective in the field is represented. The Companion’s 54 chapters are organized into 12 parts. The first seven parts cover all of the major physical theories investigated by philosophers of physics today, and the last five explore key themes that unite the study of these theories. I. Newtonian Mechanics II. Special Relativity III. General Relativity IV. Non-Relativistic Quantum Theory V. Quantum Field Theory VI. Quantum Gravity VII. Statistical Mechanics and Thermodynamics VIII. Explanation IX. Intertheoretic Relations X. Symmetries XI. Metaphysics XII. Cosmology The difficulty level of the chapters has been carefully pitched so as to offer both accessible summaries for those new to philosophy of physics and standard reference points for active researchers on the front lines. An introductory chapter by the editors maps out the field, and each part also begins with a short summary that places the individual chapters in context. The volume will be indispensable to any serious student or scholar of philosophy of physics.


Book Synopsis The Routledge Companion to Philosophy of Physics by : Eleanor Knox

Download or read book The Routledge Companion to Philosophy of Physics written by Eleanor Knox and published by Routledge. This book was released on 2021-09-28 with total page 787 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Routledge Companion to Philosophy of Physics is a comprehensive and authoritative guide to the state of the art in the philosophy of physics. It comprisess 54 self-contained chapters written by leading philosophers of physics at both senior and junior levels, making it the most thorough and detailed volume of its type on the market – nearly every major perspective in the field is represented. The Companion’s 54 chapters are organized into 12 parts. The first seven parts cover all of the major physical theories investigated by philosophers of physics today, and the last five explore key themes that unite the study of these theories. I. Newtonian Mechanics II. Special Relativity III. General Relativity IV. Non-Relativistic Quantum Theory V. Quantum Field Theory VI. Quantum Gravity VII. Statistical Mechanics and Thermodynamics VIII. Explanation IX. Intertheoretic Relations X. Symmetries XI. Metaphysics XII. Cosmology The difficulty level of the chapters has been carefully pitched so as to offer both accessible summaries for those new to philosophy of physics and standard reference points for active researchers on the front lines. An introductory chapter by the editors maps out the field, and each part also begins with a short summary that places the individual chapters in context. The volume will be indispensable to any serious student or scholar of philosophy of physics.

Semiclassical and Stochastic Gravity

Semiclassical and Stochastic Gravity

Author: Bei-Lok B. Hu

Publisher: Cambridge University Press

Published: 2020-03-05

Total Pages: 615

ISBN-13: 0521193575

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An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.


Book Synopsis Semiclassical and Stochastic Gravity by : Bei-Lok B. Hu

Download or read book Semiclassical and Stochastic Gravity written by Bei-Lok B. Hu and published by Cambridge University Press. This book was released on 2020-03-05 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.

Inflation and String Theory

Inflation and String Theory

Author: Daniel Baumann

Publisher: Cambridge University Press

Published: 2015-04-23

Total Pages: 395

ISBN-13: 1107089697

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This accessible volume provides a modern treatment of the cosmological and string-theoretic background necessary to understand inflation in string theory.


Book Synopsis Inflation and String Theory by : Daniel Baumann

Download or read book Inflation and String Theory written by Daniel Baumann and published by Cambridge University Press. This book was released on 2015-04-23 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible volume provides a modern treatment of the cosmological and string-theoretic background necessary to understand inflation in string theory.

Noether Symmetries in Theories of Gravity

Noether Symmetries in Theories of Gravity

Author: Francesco Bajardi

Publisher: Cambridge University Press

Published: 2022-11-30

Total Pages: 451

ISBN-13: 1009208748

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This volume summarizes the many modified theories of gravity and shows how to select physically viable models using symmetry principles.


Book Synopsis Noether Symmetries in Theories of Gravity by : Francesco Bajardi

Download or read book Noether Symmetries in Theories of Gravity written by Francesco Bajardi and published by Cambridge University Press. This book was released on 2022-11-30 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume summarizes the many modified theories of gravity and shows how to select physically viable models using symmetry principles.