Happy Holidays! Over 120,000 eBooks at just 19.99 each— Pick a favorite today

Fundamental Theories of Physics

The Problem of Time

Quantum Mechanics Versus General Relativity

Authors: Anderson, Edward

  • Addresses issues of central interest to fundamental theories of physics
  • An informed survey of the main candidate theories of quantum gravity
  • Starts gently, thus accessible to new graduate students
  • The book is a fruit of a major FQXi grant awarded to the author
see more benefits

Buy this book

eBook 103,52 €
price for Spain (gross)
  • ISBN 978-3-319-58848-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 129,99 €
price for Spain (gross)
  • ISBN 978-3-319-58846-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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. 

About the authors

E. Anderson graduated from Cambridge with distinction in Part III Mathematics, and did a PhD in General Relativity at Queen Mary, University of London, before returning to Cambridge as a Research Fellow of Peterhouse and member of DAMTP.  E.A. has also occupied positions at the University of Alberta, Universidad Autónoma de Madrid and Université Paris 7 (with a FQXi large grant to study the titular Problem of Time).

Table of contents (60 chapters)

  • Introduction: Conceptual Outline of Time

    Anderson, Edward

    Pages 3-18

    Preview Buy Chapter 30,19 €
  • Time, Space and Laws in Newtonian Mechanics

    Anderson, Edward

    Pages 19-32

    Preview Buy Chapter 30,19 €
  • Absolute Versus Relational Motion Debate

    Anderson, Edward

    Pages 33-39

    Preview Buy Chapter 30,19 €
  • Time, Space, Spacetime and Laws in Special Relativity

    Anderson, Edward

    Pages 41-54

    Preview Buy Chapter 30,19 €
  • Time and Ordinary Quantum Mechanics (QM)

    Anderson, Edward

    Pages 55-64

    Preview Buy Chapter 30,19 €

Buy this book

eBook 103,52 €
price for Spain (gross)
  • ISBN 978-3-319-58848-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 129,99 €
price for Spain (gross)
  • ISBN 978-3-319-58846-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
The Problem of Time
Book Subtitle
Quantum Mechanics Versus General Relativity
Authors
Series Title
Fundamental Theories of Physics
Series Volume
190
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-58848-3
DOI
10.1007/978-3-319-58848-3
Hardcover ISBN
978-3-319-58846-9
Series ISSN
0168-1222
Edition Number
1
Number of Pages
XXXVIII, 920
Number of Illustrations and Tables
106 b/w illustrations, 66 illustrations in colour
Topics