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Background Independence in Classical and Quantum Gravity

Background Independence in Classical and Quantum Gravity PDF Author: James Read
Publisher: Oxford University Press
ISBN: 0192889133
Category : Philosophy
Languages : en
Pages : 159

Book Description
It is often claimed that Einstein's magnum opus—-his 1915 theory of General Relativity—-is distinguished from other theories of space and time in virtue of its background independence. It's also often claimed that background independence is an essential feature of any quantum theory of gravity. But are these claims true? This book aspires to offer definitive answers to both of these questions, by (a) charting the space of possible definitions of background independence, and (b) applying said definitions to various classical and quantum theories of gravity. The outcome, in brief, is as follows: General Relativity is not unique by virtue of its background independence (and, indeed, fails to be background independent on some popular definitions); moreover, the situation in the case of quantum theories of gravity is delicate, because (i) there are viable such theories which (by some accounts, at least) fail to be background independent, but also (ii) theories (e.g. perturbative string theory) which have often been dismissed for (allegedly) being background dependent in fact, on many accounts, are better classified as background independent. In giving these answers in rigorous detail, this book seeks to elevate the standards and generality of future discussions of background independence in the foundations of spacetime theories.

Background Independence in Classical and Quantum Gravity

Background Independence in Classical and Quantum Gravity PDF Author: James Read
Publisher: Oxford University Press
ISBN: 0192889133
Category : Philosophy
Languages : en
Pages : 159

Book Description
It is often claimed that Einstein's magnum opus—-his 1915 theory of General Relativity—-is distinguished from other theories of space and time in virtue of its background independence. It's also often claimed that background independence is an essential feature of any quantum theory of gravity. But are these claims true? This book aspires to offer definitive answers to both of these questions, by (a) charting the space of possible definitions of background independence, and (b) applying said definitions to various classical and quantum theories of gravity. The outcome, in brief, is as follows: General Relativity is not unique by virtue of its background independence (and, indeed, fails to be background independent on some popular definitions); moreover, the situation in the case of quantum theories of gravity is delicate, because (i) there are viable such theories which (by some accounts, at least) fail to be background independent, but also (ii) theories (e.g. perturbative string theory) which have often been dismissed for (allegedly) being background dependent in fact, on many accounts, are better classified as background independent. In giving these answers in rigorous detail, this book seeks to elevate the standards and generality of future discussions of background independence in the foundations of spacetime theories.

Quantum Gravity

Quantum Gravity PDF Author: Carlo Rovelli
Publisher: Cambridge University Press
ISBN: 1139456156
Category : Science
Languages : en
Pages :

Book Description
Quantum gravity is perhaps the most important open problem in fundamental physics. It is the problem of merging quantum mechanics and general relativity, the two great conceptual revolutions in the physics of the twentieth century. The loop and spinfoam approach, presented in this 2004 book, is one of the leading research programs in the field. The first part of the book discusses the reformulation of the basis of classical and quantum Hamiltonian physics required by general relativity. The second part covers the basic technical research directions. Appendices include a detailed history of the subject of quantum gravity, hard-to-find mathematical material, and a discussion of some philosophical issues raised by the subject. This fascinating text is ideal for graduate students entering the field, as well as researchers already working in quantum gravity. It will also appeal to philosophers and other scholars interested in the nature of space and time.

Background Independence in Classical and Quantum Gravity

Background Independence in Classical and Quantum Gravity PDF Author: James Read
Publisher: Oxford University Press
ISBN: 0192889117
Category : Philosophy
Languages : en
Pages : 159

Book Description
It is often claimed that Einstein's magnum opus---his 1915 theory of General Relativity---is distinguished from other theories of space and time in virtue of its background independence. It's also often claimed that background independence is an essential feature of any quantum theory of gravity. But are these claims true? This book aspires to offer definitive answers to both of these questions, by (a) charting the space of possible definitions of background independence, and (b) applying said definitions to various classical and quantum theories of gravity. The outcome, in brief, is as follows: General Relativity is not unique by virtue of its background independence (and, indeed, fails to be background independent on some popular definitions); moreover, the situation in the case of quantum theories of gravity is delicate, because (i) there are viable such theories which (by some accounts, at least) fail to be background independent, but also (ii) theories (e.g. perturbative string theory) which have often been dismissed for (allegedly) being background dependent in fact, on many accounts, are better classified as background independent. In giving these answers in rigorous detail, this book seeks to elevate the standards and generality of future discussions of background independence in the foundations of spacetime theories.

The Problem of Time

The Problem of Time PDF Author: Edward Anderson
Publisher: Springer
ISBN: 3319588486
Category : Science
Languages : en
Pages : 920

Book Description
This book is a treatise on time and on background independence in physics. It first considers how time is conceived of in each accepted paradigm of physics: Newtonian, special relativity, quantum mechanics (QM) and general relativity (GR). Substantial differences are moreover uncovered between what is meant by time in QM and in GR. These differences jointly source the Problem of Time: Nine interlinked facets which arise upon attempting concurrent treatment of the QM and GR paradigms, as is required in particular for a background independent theory of quantum gravity. A sizeable proportion of current quantum gravity programs - e.g. geometrodynamical and loop quantum gravity approaches to quantum GR, quantum cosmology, supergravity and M-theory - are background independent in this sense. This book's foundational topic is thus furthermore of practical relevance in the ongoing development of quantum gravity programs. This book shows moreover that eight of the nine facets of the Problem of Time already occur upon entertaining background independence in classical (rather than quantum) physics. By this development, and interpreting shape theory as modelling background independence, this book further establishes background independence as a field of study. Background independent mechanics, as well as minisuperspace (spatially homogeneous) models of GR and perturbations thereabout are used to illustrate these points. As hitherto formulated, the different facets of the Problem of Time greatly interfere with each others' attempted resolutions. This book explains how, none the less, a local resolution of the Problem of Time can be arrived at after various reconceptualizations of the facets and reformulations of their mathematical implementation. Self-contained appendices on mathematical methods for basic and foundational quantum gravity are included. Finally, this book outlines how supergravity is refreshingly different from GR as a realization of background independence, and what background independence entails at the topological level and beyond.

The Structural Foundations of Quantum Gravity

The Structural Foundations of Quantum Gravity PDF Author: Dean Rickles
Publisher: Clarendon Press
ISBN: 0191515027
Category : Science
Languages : en
Pages : 288

Book Description
Quantum gravity is the name given to a theory that unites general relativity - Einstein's theory of gravitation and spacetime - with quantum field theory, our framework for describing non-gravitational forces. The Structural Foundations of Quantum Gravity brings together philosophers and physicists to discuss a range of conceptual issues that surface in the effort to unite these theories, focusing in particular on the ontological nature of the spacetime that results. Although there has been a great deal written about quantum gravity from the perspective of physicists and mathematicians, very little attention has been paid to the philosophical aspects. This volume closes that gap, with essays written by some of the leading researchers in the field. Individual papers defend or attack a structuralist perspective on the fundamental ontologies of our physical theories, which offers the possibility of shedding new light on a number of foundational problems. It is a book that will be of interest not only to physicists and philosophers of physics but to anyone concerned with foundational issues and curious to explore new directions in our understanding of spacetime and quantum physics.

Approaches to Quantum Gravity

Approaches to Quantum Gravity PDF Author: Daniele Oriti
Publisher: Cambridge University Press
ISBN: 0521860458
Category : Science
Languages : en
Pages : 605

Book Description
Containing contributions from leading researchers in this field, this book provides a complete overview of this field from the frontiers of theoretical physics research for graduate students and researchers. It introduces the most current approaches to this problem, and reviews their main achievements.

Effective Spacetime

Effective Spacetime PDF Author: Karen Crowther
Publisher: Springer
ISBN: 3319395084
Category : Science
Languages : en
Pages : 205

Book Description
This book discusses the notion that quantum gravity may represent the "breakdown" of spacetime at extremely high energy scales. If spacetime does not exist at the fundamental level, then it has to be considered "emergent", in other words an effective structure, valid at low energy scales. The author develops a conception of emergence appropriate to effective theories in physics, and shows how it applies (or could apply) in various approaches to quantum gravity, including condensed matter approaches, discrete approaches, and loop quantum gravity.

Quantum Gravity

Quantum Gravity PDF Author: Domenico J. W. Giulini
Publisher: Springer Science & Business Media
ISBN: 9783540408109
Category : Science
Languages : en
Pages : 426

Book Description
The relation between quantum theory and the theory of gravitation remains one of the most outstanding unresolved issues of modern physics. According to general expectation, general relativity as well as quantum (field) theory in a fixed background spacetime cannot be fundamentally correct. Hence there should exist a broader theory comprising both in appropriate limits, i.e., quantum gravity. This book gives readers a comprehensive introduction accessible to interested non-experts to the main issues surrounding the search for quantum gravity. These issues relate to fundamental questions concerning the various formalisms of quantization; specific questions concerning concrete processes, like gravitational collapse or black-hole evaporation; and the all important question concerning the possibility of experimental tests of quantum-gravity effects.

Classical and Quantum Gravity

Classical and Quantum Gravity PDF Author: Vincent R. Frignanni
Publisher:
ISBN: 9781611229578
Category : Quantum gravity
Languages : en
Pages : 0

Book Description
Classical and quantum gravity covers all aspects of gravitational physics and the theory of spacetime. This new book presents topical research in the study of classical and quantum gravity, including the weak field limit of fourth order gravity; the problem of time in quantum gravity; quantum correction and entropy spectrum in different gravity; quantum instability for charged particles on charged Nariai Black Holes and the equivalence of the generalised tetra formalism with the theory of general relativity.

Coarse Graining in Quantum Gravity: Bridging the Gap between Microscopic Models and Spacetime-Physics

Coarse Graining in Quantum Gravity: Bridging the Gap between Microscopic Models and Spacetime-Physics PDF Author: Astrid Eichhorn
Publisher: Frontiers Media SA
ISBN: 2889710491
Category : Science
Languages : en
Pages : 298

Book Description