Classical Measurements in Curved Space-Times

Classical Measurements in Curved Space-Times PDF Author: Fernando de Felice
Publisher: Cambridge University Press
ISBN: 1139491598
Category : Science
Languages : en
Pages : 326

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Book Description
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.

Classical Measurements in Curved Space-Times

Classical Measurements in Curved Space-Times PDF Author: Fernando de Felice
Publisher: Cambridge University Press
ISBN: 1139491598
Category : Science
Languages : en
Pages : 326

Get Book Here

Book Description
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.

Flat and Curved Space-times

Flat and Curved Space-times PDF Author: George Francis Rayner Ellis
Publisher: Clarendon Press
ISBN: 9780198506560
Category : Mathematics
Languages : en
Pages : 394

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Book Description
This text explains special relativity and the basics of general relativity from a geometric viewpoint. Space-time geometry is emphasised throughout, and up-to-date information is provided on black holes, gravitational collapse, and cosmology.

Foundations of Quantum Gravity

Foundations of Quantum Gravity PDF Author: James Lindesay
Publisher: Cambridge University Press
ISBN: 1107328306
Category : Science
Languages : en
Pages : 419

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Book Description
Exploring how the subtleties of quantum coherence can be consistently incorporated into Einstein's theory of gravitation, this book is ideal for researchers interested in the foundations of relativity and quantum physics. The book examines those properties of coherent gravitating systems that are most closely connected to experimental observations. Examples of consistent co-gravitating quantum systems whose overall effects upon the geometry are independent of the coherence state of each constituent are provided, and the properties of the trapping regions of non-singular black objects, black holes and a dynamic de Sitter cosmology are discussed analytically, numerically and diagrammatically. The extensive use of diagrams to summarise the results of the mathematics enables readers to bypass the need for a detailed understanding of the steps involved. Assuming some knowledge of quantum physics and relativity, the book provides text boxes featuring supplementary information for readers particularly interested in the philosophy and foundations of the physics.

Relativity on Curved Manifolds

Relativity on Curved Manifolds PDF Author: F. de Felice
Publisher: Cambridge University Press
ISBN: 9780521429085
Category : Mathematics
Languages : en
Pages : 466

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Book Description
This is a self-contained exposition of general relativity with emphasis given to tetrad and spinor structures and physical measurement on curved manifolds.

Quantum Mechanics in Curved Space-Time

Quantum Mechanics in Curved Space-Time PDF Author: Jurgen Audretsch
Publisher: Springer Science & Business Media
ISBN: 1461538149
Category : Science
Languages : en
Pages : 555

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Book Description
Quantum mechanics and quantum field theory on one hand and Gravity as a theory of curved space-time on the other are the two great conc- tual schemes of modern theoretical physics. For many decades they have lived peacefully together for a simple reason: it was a coexistence wi- out much interaction. There has been the family of relativists and the other family of elementary particle physicists and both sides have been convinced that their problems have not very much to do with the problems of the respective other side. This was a situation which could not last forever, because the two theoretical schemes have a particular structural trait in common: their claim for totality and universality. Namely on one hand all physical theories have to be formulated in a quantum mechanical manner, and on the other hand gravity as curved space-time influences all processes and vice versa. It was therefore only a question of time that physically relevant domains of application would attract a general int- est, which demand a combined application of both theoretical schemes. But it is immediately obvious that such an application of both schemes is - possible if the schemes are taken as they are. Something new is needed which reconciles gravity and quantum mechanics. During the last two de- des we are now doing the first steps towards this more general theory and we are confronted with fundamental difficulties.

Inflation and String Theory

Inflation and String Theory PDF Author: Daniel Baumann
Publisher: Cambridge University Press
ISBN: 1107089697
Category : Science
Languages : en
Pages : 395

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

Boundary Conformal Field Theory and the Worldsheet Approach to D-Branes

Boundary Conformal Field Theory and the Worldsheet Approach to D-Branes PDF Author: Andreas Recknagel
Publisher: Cambridge University Press
ISBN: 1107511801
Category : Science
Languages : en
Pages : 349

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Book Description
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.

Conformal Methods in General Relativity

Conformal Methods in General Relativity PDF Author: Juan A. Valiente Kroon
Publisher: Cambridge University Press
ISBN: 1009291343
Category : Science
Languages : en
Pages : 627

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

Rotating Relativistic Stars

Rotating Relativistic Stars PDF Author: John L. Friedman
Publisher: Cambridge University Press
ISBN: 0521872545
Category : Science
Languages : en
Pages : 435

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Book Description
This volume pulls together more than forty years of research to provide graduate students and researchers in astrophysics, gravitational physics, and astronomy with the first self-contained treatment of the structure, stability, and oscillations of rotating neutron stars.

The Theory and Applications of Instanton Calculations

The Theory and Applications of Instanton Calculations PDF Author: Manu Paranjape
Publisher: Cambridge University Press
ISBN: 110854763X
Category : Science
Languages : en
Pages : 325

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Book Description
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.