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Causality Measurement Theory And The Differentiable Structure Of Space Time


Causality Measurement Theory And The Differentiable Structure Of Space Time
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Causality Measurement Theory And The Differentiable Structure Of Space Time


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


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


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


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.



Boundary Conformal Field Theory And The Worldsheet Approach To D Branes


Boundary Conformal Field Theory And The Worldsheet Approach To D Branes
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Author : Andreas Recknagel
language : en
Publisher: Cambridge University Press
Release Date : 2013-11-28

Boundary Conformal Field Theory And The Worldsheet Approach To D Branes written by Andreas Recknagel 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 2013-11-28 with Science categories.


Boundary conformal field theory is concerned with a class of two-dimensional quantum field theories which display a rich mathematical structure and have many applications ranging from string theory to condensed matter physics. In particular, the framework allows discussion of strings and branes directly at the quantum level. Written by internationally renowned experts, this comprehensive introduction to boundary conformal field theory reaches from theoretical foundations to recent developments, with an emphasis on the algebraic treatment of string backgrounds. Topics covered include basic concepts in conformal field theory with and without boundaries, the mathematical description of strings and D-branes, and the geometry of strongly curved spacetime. The book offers insights into string geometry that go beyond classical notions. Describing the theory from basic concepts, and providing numerous worked examples from conformal field theory and string theory, this reference is of interest to graduate students and researchers in physics and mathematics.



The Routledge Companion To Philosophy Of Physics


The Routledge Companion To Philosophy Of Physics
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Author : Eleanor Knox
language : en
Publisher: Routledge
Release Date : 2021-09-28

The Routledge Companion To Philosophy Of Physics written by Eleanor Knox and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-28 with Philosophy categories.


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.



Relativistic Fluid Dynamics In And Out Of Equilibrium


Relativistic Fluid Dynamics In And Out Of Equilibrium
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Author : Paul Romatschke
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-09

Relativistic Fluid Dynamics In And Out Of Equilibrium written by Paul Romatschke 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 2019-05-09 with Science categories.


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



Classical Solutions In Quantum Field Theory


Classical Solutions In Quantum Field Theory
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Author : Erick J. Weinberg
language : en
Publisher: Cambridge University Press
Release Date : 2012-08-16

Classical Solutions In Quantum Field Theory written by Erick J. Weinberg 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 2012-08-16 with Science categories.


Classical solutions play an important role in quantum field theory, high-energy physics and cosmology. Real-time soliton solutions give rise to particles, such as magnetic monopoles, and extended structures, such as domain walls and cosmic strings, that have implications for early universe cosmology. Imaginary-time Euclidean instantons are responsible for important nonperturbative effects, while Euclidean bounce solutions govern transitions between metastable states. Written for advanced graduate students and researchers in elementary particle physics, cosmology and related fields, this book brings the reader up to the level of current research in the field. The first half of the book discusses the most important classes of solitons: kinks, vortices and magnetic monopoles. The cosmological and observational constraints on these are covered, as are more formal aspects, including BPS solitons and their connection with supersymmetry. The second half is devoted to Euclidean solutions, with particular emphasis on Yang–Mills instantons and on bounce solutions.



Mathematics Of Quantization And Quantum Fields


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.



Hamiltonian Mechanics Of Gauge Systems


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.