Foundations of space and time: reflections on quantum gravity
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2012
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Item Description: | Literaturangaben |
| Physical Description: | XIV, 437 S. graph. Darst. |
| ISBN: | 0521114403 9780521114400 |
Staff View
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| 245 | 1 | 0 | |a Foundations of space and time |b reflections on quantum gravity |c ed. by Jeff Murugan ... |
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Record in the Search Index
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Contents
List of contributors page
xi
1
The problem with quantum gravity
1
JEFF MURUGAN, AMANDA WELTMAN
&
GEORGE
F. R.
ELLIS
2
A dialogue on the nature of gravity
8
T. PADMANABHAN
2.1
What is it all about?
8
2.2
Local Rindler observers and entropy flow
12
2.3
Thermodynamic reinterpretation of the field equations
17
2.4
Field equations from a new variational principle
25
2.5
Comparison with the conventional perspective and further
comments
35
2.6
Summary and outlook
43
References
47
3
Effective theories and modifications of gravity
50
С. Р.
BURGESS
3.1
Introduction
50
3.2
Modifying gravity over short distances
52
3.3
Modifying gravity over long distances
61
3.4
Conclusions
66
References
67
4
The small-scale structure of spacetime
69
STEVEN CARLIP
4.1
Introduction
69
4.2
Spontaneous dimensional reduction?
70
4.3
Strong coupling and small-scale structure
77
vi
Contents
4.4 Spacetime
foam?
80
4.5
What next?
81
References
82
5
Ultraviolet divergences in supersymmetric theories
85
KELLOG
STELLE
5.1
Introduction
85
5.2
Algebraic renormalization and ectoplasm
93
References
103
6
Cosmological quantum billiards
106
AXEL
KLEINSCHMIDT &
HERMANN
NICOLAI
6.1
Introduction
106
6.2 Minisuperspace
quantization
109
6.3
Automorphy and the E\q Weyl group
113
6.4
Classical and quantum chaos
116
6.5
Supersymmetry
118
6.6
Outlook
119
References
122
7
Progress in RNS string theory and pure spinors
125
DIMITRY POLYAKOV
7.1
Introduction
125
7.2
BRST
charges of higher-order
BRST
cohomologies
135
7.3
Properties of Qn
:
cohomologies
136
7.4
New
BRST
charges and deformed pure spinors
137
7.5
Conclusions
138
References
139
8
Recent trends in superstring phenomenology
140
MASSIMO BIANCHI
8.1
Foreword
140
8.2
String theory: another primer
141
8.3
Phenomenological scenarios
149
8.4
Intersecting vs magnetized branes
153
8.5
Unoriented D-brane
instantons
156
8.6
Outlook
159
References
159
9
Emergent spacetime
164
ROBERT
DE MELLO
KOCH & JEFF MURUGAN
9.1
Introduction
164
9.2
Simplicity of the j-BPS sector
166
Contents
vii
9.3
Dictionary
167
9.4
Organizing the degrees of freedom of a matrix model
168
9.5
Gravitons
171
9.6
Strings
172
9.7
Giant
gravitons
173
9.8
New geometries
175
9.9
Outlook
178
References
180
10
Loop quantum gravity
185
HANNO SAHLMANN
10.1
Introduction
185
10.2
Kinematical setup
187
10.3
The Hamilton constraint
197
10.4
Applications
203
10.5
Outlook
207
References
208
11
Loop quantum gravity and cosmology
211
MARTIN BOJOWALD
11.1
Introduction
211
11.2
Effective dynamics
214
11.3
Discrete dynamics
225
11.4
Consistent dynamics
242
11.5
Consistent effective discrete dynamics
247
11.6
Outlook: future dynamics
251
References
252
12
The microscopic dynamics of quantum space as a group field theory
257
DANIELE ORITI
12.1
Introduction
257
12.2
Dynamics of 2D quantum space as a group field theory
279
12.3
Towards a group field theory formulation of 4D quantum
gravity
293
12.4
A selection of research directions and recent results
302
12.5
Some important open issues
314
12.6
Conclusions
317
References
318
13
Causal dynamical
triangulations
and the quest for quantum gravity
321
J.
AMBJ0RN,
J. JURKIEWICZ
&
R. LOLL
13.1
Quantum gravity
-
taking a conservative stance
321
viii Contents
13.2
What CDT quantum gravity is about
323
13.3
What CDT quantum gravity is not about
325
13.4
CDT key achievements I
-
demonstrating the need for
causality
326
13.5
CDT key achievements II
-
the emergence of
spacetime as we know it
330
13.6
CDT key achievements III
-
a window on Planckian dynamics
332
13.7
Open issues and outlook
334
References
335
14
Proper time is stochastic time in 2D quantum gravity
338
J.
AMBJ0RN,
R. LOLL, Y. WATABIKI, W. WESTRA
&
S. ZOHREN
14.1
Introduction
338
14.2
The CDT formalism
339
14.3
Generalized CDT
343
14.4
The matrix model representation
347
14.5
CDT string field theory
347
14.6
The matrix model, once again
352
14.7
Stochastic quantization
355
14.8
The extended Hamiltonian
358
References
360
15
Logic is to the quantum as geometry is to gravity
363
RAFAEL SORKIN
15.1
Quantum gravity and quantal reality
363
15.2
Histories and events (the kinematic input)
364
15.3
Preclusion and the quantal measure (the dynamical input)
366
15.4
The 3-slit paradox and its cognates
368
15.5
Freeing the coevent
371
15.6
The multiplicative scheme: an example of anhomomorphic
coevents
374
15.7
Preclusive
separability and the "measurement problem"
377
15.8
Open questions and further work
380
15.9
Appendix: Formal deduction of the 3-slit contradiction
382
References
383
16
Causal sets: discreteness without symmetry breaking
385
JOE HENSON
16.1
Introduction: seeing atoms with the naked eye
385
16.2
Causal sets
387
16.3
Towards quantum gravity
395
Contents ix
16.4
Consequences of spacetime discreteness
401
16.5
Conclusion: back to the rough ground
405
References
407
17
The Big Bang, quantum gravity and black-hole information loss
410
ROGER PENROSE
17.1
General remarks
410
17.2
The principles of equivalence and quantum superposition
411
17.3
Cosmology and the
2nd
law
412
17.4
Twistor theory and the regularization of infinities
415
References
417
18
Conversations in string theory
419
AMANDA WELTMAN, JEFF MURUGAN
&
GEORGE
F. R.
ELLIS
References
433
Index
435
Foundations of
Space and Time
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.
Jeff Murugan
¡s a
Senior Lecturer in the Department of Mathematics and Applied
Mathematics and a member of the Astrophysics, Cosmology
&
Gravity Center, University of
Cape Town. He is interested in all aspects of gravity and is currently working on string theory
and connections between gauge theories and gravity.
Amanda Weltman is a Senior Lecturer in the Department of Mathematics and Applied
Mathematics and a member of the Astrophysics, Cosmology
&
Gravity Center, University of
Cape Town. She works in the exciting bridging areas of string cosmology, studying physical
ways to test string theory within the context of cosmology.
George F. R. Ellis ¡s Emeritus Professor of Applied Mathematics and Honorary Research
Associate in the Mathematics Department, University of Cape Town. He works on general
relativity theory, cosmology, complex systems, and the way physics underlies the
functioning of the human brain.
Cover illustration:
č iStockphoto.com/Taily.
Cambridge
UNIVERSITY PRESS
www.cambridge.org
llSBN
978-0-521-11440-0
78052Г114400 |
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| spelling | Foundations of space and time reflections on quantum gravity ed. by Jeff Murugan ... 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2012 XIV, 437 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Space and time Quantum gravity Raum-Zeit (DE-588)4302626-6 gnd rswk-swf Quantengravitation (DE-588)4124012-1 gnd rswk-swf Quantengravitation (DE-588)4124012-1 s Raum-Zeit (DE-588)4302626-6 s DE-604 Murugan, Jeff 1976- Sonstige (DE-588)1026707773 oth Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021168157&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021168157&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Foundations of space and time reflections on quantum gravity Space and time Quantum gravity Raum-Zeit (DE-588)4302626-6 gnd Quantengravitation (DE-588)4124012-1 gnd |
| subject_GND | (DE-588)4302626-6 (DE-588)4124012-1 |
| title | Foundations of space and time reflections on quantum gravity |
| title_auth | Foundations of space and time reflections on quantum gravity |
| title_exact_search | Foundations of space and time reflections on quantum gravity |
| title_full | Foundations of space and time reflections on quantum gravity ed. by Jeff Murugan ... |
| title_fullStr | Foundations of space and time reflections on quantum gravity ed. by Jeff Murugan ... |
| title_full_unstemmed | Foundations of space and time reflections on quantum gravity ed. by Jeff Murugan ... |
| title_short | Foundations of space and time |
| title_sort | foundations of space and time reflections on quantum gravity |
| title_sub | reflections on quantum gravity |
| topic | Space and time Quantum gravity Raum-Zeit (DE-588)4302626-6 gnd Quantengravitation (DE-588)4124012-1 gnd |
| topic_facet | Space and time Quantum gravity Raum-Zeit Quantengravitation |
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