Foundations of Space and Time: Reflections on Quantum Gravity

doi:10.1017/CBO9780511920998

After almost a century, the field of quantum gravity remains as difficult and inspiring as ever. Today, it finds itself a field divided, with two major contenders dominating: string theory, the leading exemplification of the covariant quantization program; and loop quantum gravity, the canonical scheme based on Dirac's constrained Hamiltonian quantization. However, there are now a number of other innovative schemes providing promising new avenues. Encapsulating the latest debates on this topic, this book details the different approaches to understanding the very nature of space and time. It brings together leading researchers in each of these approaches to quantum gravity to explore these competing possibilities in an open way. Its comprehensive coverage explores all the current approaches to solving the problem of quantum gravity, addressing the strengths and weaknesses of each approach, to give researchers and graduate students an up-to-date view of the field.

'Encapsulating the latest debates, this book details the different approaches to understanding the nature of space and time. It brings together leading researchers to explore in a comprehensive coverage all of the current approaches to solving the problems of quantum gravity, addressing the strengths and weaknesses of each approach, to give researchers and graduate students an up-to-date view of the world.'

Source: CERN Courier

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Contents

Frontmatter
pp i-iv
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Contents
pp v-x
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List of contributors
pp xi-xiv
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1 - The problem with quantum gravity
pp 1-7
- By Jeff Murugan, University of Cape Town, Amanda Weltman, University of Cape Town, George F. R. Ellis, University of Cape Town
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2 - A dialogue on the nature of gravity
pp 8-49
- By T. Padmanabhan, Pune University Campus
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3 - Effective theories and modifications of gravity
pp 50-68
- By C. P. Burgess, McMaster University
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4 - The small-scale structure of spacetime
pp 69-84
- By Steven Carlip, University of California
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5 - Ultraviolet divergences in supersymmetric theories
pp 85-105
- By Kellog Stelle, Technology and Medicine
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6 - Cosmological quantum billiards
pp 106-124
- By Axel Kleinschmidt, Université Libre de Bruxelles, Hermann Nicolai, Albert-Einstein-Institut
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7 - Progress in RNS string theory and pure spinors
pp 125-139
- By Dimitry Polyakov, University of the Witwatersrand
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8 - Recent trends in superstring phenomenology
pp 140-163
- By Massimo Bianchi, Universitá di Roma “Tor Vergata”
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9 - Emergent spacetime
pp 164-184
- By Robert De Mello Koch, University of the Witwatersrand, Jeff Murugan, University of Cape Town
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10 - Loop quantum gravity
pp 185-210
- By Hanno Sahlmann, Aria Pacific Center for Theoretical Physics Hogil Kim Memorial Bldg
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11 - Loop quantum gravity and cosmology
pp 211-256
- By Martin Bojowald, Penn State University
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12 - The microscopic dynamics of quantum space as a group field theory
pp 257-320
- By Daniele Oriti, Max-Planck-Institut für Gravitationsphysik
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13 - Causal dynamical triangulations and the quest for quantum gravity
pp 321-337
- By J. Ambjørn, Copenhagen University, J. Jurkiewicz, Jagiellonian University, R. Loll, Utrecht University
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14 - Proper time is stochastic time in 2D quantum gravity
pp 338-362
- By J. Ambjørn, Copenhagen University, R. Loll, Utrecht University, Y. Watabiki, Tokyo Institute of Technology, W. Westra, University of Iceland, S. Zohren, Leiden University
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15 - Logic is to the quantum as geometry is to gravity
pp 363-384
- By Rafael Sorkin, Perimeter Institute
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16 - Causal sets: discreteness without symmetry breaking
pp 385-409
- By Joe Henson, Perimeter Institute
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17 - The Big Bang, quantum gravity and black-hole information loss
pp 410-418
- By Roger Penrose, The Mathematical Institute
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18 - Conversations in string theory
pp 419-434
- By Amanda Weltman, University of Cape Town, Jeff Murugan, University of Cape Town, George F. R. Ellis, University of Cape Town
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Index
pp 435-437
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Foundations of Space and Time

Reflections on Quantum Gravity

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Contents

Frontmatter
pp i-iv

Contents
pp v-x

List of contributors
pp xi-xiv

1 - The problem with quantum gravity
pp 1-7

2 - A dialogue on the nature of gravity
pp 8-49

3 - Effective theories and modifications of gravity
pp 50-68

4 - The small-scale structure of spacetime
pp 69-84

5 - Ultraviolet divergences in supersymmetric theories
pp 85-105

6 - Cosmological quantum billiards
pp 106-124

7 - Progress in RNS string theory and pure spinors
pp 125-139

8 - Recent trends in superstring phenomenology
pp 140-163

9 - Emergent spacetime
pp 164-184

10 - Loop quantum gravity
pp 185-210

11 - Loop quantum gravity and cosmology
pp 211-256

12 - The microscopic dynamics of quantum space as a group field theory
pp 257-320

13 - Causal dynamical triangulations and the quest for quantum gravity
pp 321-337

14 - Proper time is stochastic time in 2D quantum gravity
pp 338-362

15 - Logic is to the quantum as geometry is to gravity
pp 363-384

16 - Causal sets: discreteness without symmetry breaking
pp 385-409

17 - The Big Bang, quantum gravity and black-hole information loss
pp 410-418

18 - Conversations in string theory
pp 419-434

Index
pp 435-437

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Foundations of Space and Time

Reflections on Quantum Gravity

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