Towards Quantum Gravity

Proceedings of the XXXV International Winter School on Theoretical Physics, Held in Polanica, Poland, 2-11 February 19

By: Jerzy Kowalski-Glikman (Editor)

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Hardcover | 1 March 2000

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392 Pages

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24.13 x 15.88 x 2.54

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The aim of this book is to give graduate students an overview of quantum gravity but it also covers related topics from astrophysics. Some well-written contributions can serve as an introduction into basic conceptual concepts like time in quantum gravity or the emergence of a classical world from quantum cosmology. This makes the volume attractive to philosophers of science, too. Other topics are black holes, gravitational waves and non-commutative extensions of physical theories.

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Are We at the Dawn of Quantum-Gravity Phenomenology?	p. 1
Introduction	p. 1
First the Conclusions: What Has This Phenomenology Achieved?	p. 3
Addendum to Conclusions: Any Hints to Theorists f rom Experiments?	p. 6
Interf erometry and Fuzzy Space-Time	p. 8
Gamma-Ray Bursts and In-vacuo Dispersion	p. 15
Other Quantum-Gravity Experiments	p. 20
Classical-Space-Time-Induced Quantum Phases in Matter Interf erometry	p. 24
Estimates ofSpace-Time Fuzziness rom Measurability Bounds	p. 25
Relations with Other Quantum Gravity Approaches	p. 36
Quantum Gravity, No Strings Attached	p. 39
Conservative Motivation and Other Closing Remarks	p. 44
Classical and Quantum Physics of Isolated Horizons: A Brief Overview	p. 50
Motivation	p. 50
Key Issues	p. 52
Summary	p. 55
Discussion	p. 65
Old and New Processes of Vorton Formation	p. 71
Anti-de Sitter Supersymmetry	p. 79
Introduction	p. 79
Supersymmetry and Anti-de Sitter Space	p. 80
Anti-de Sitter Supersymmetry and Masslike Terms	p. 83
The Quadratic Casimir Operator	p. 85
Unitary Representations of the Anti-de Sitter Algebra	p. 87
The Oscillator Construction	p. 92
The Superalgebra OSp(1 4)	p. 95
Conclusions	p. 98
References	p. 99
Combinatorial Dynamics and Time in Quantum Gravity	p. 101
Introduction	p. 101
Combinatorial Descriptions of Quantum Spacetime	p. 104
The Problem ofthe Classical Limit and its Relationship to Critical Phenomena	p. 108
Is There Quantum Directed Percolation?	p. 111
Discrete Superspace and its Structure	p. 112
Some Simple Models	p. 114
The Classical Limit of the Frozen Models	p. 115
Dynamics Including the Parameters	p. 116
A New Approach to the Problem of Time	p. 117
Non-commutative Extensions of Classical Theories in Physics	p. 130
Def ormations of Space-Time and Phase Space Geometries	p. 130
Why the Coordinates Should not Commute at Planck's Scale	p. 133
Non-commutative Differential Geometry	p. 134
Non-commutative Analog of Kaluza-Klein and Gauge Theories	p. 137
Minkowskian Space-Time as a Commutative Limit	p. 142
Quantum Spaces and Quantum Groups	p. 149
Conclusion	p. 155
References	p. 155
Conceptual Issues in Quantum Cosmology	p. 158
Introduction	p. 158
Lessons f rom Quantum Theory	p. 159
Quantum Cosmology	p. 167
Emergence of a Classical World	p. 176
Acknowledgements	p. 184
References	p. 185
Single-Exterior Black Holes	p. 188
Introduction	p. 188
Kruskal Manifold and the MP³ Geon	p. 189
Vacua on Kruskal and on the RP³ Geon	p. 192
Entropy ofthe RP³ Geon?	p. 194
AdS₃, the Spinless Nonextremal BTZ Hole, and the RP² Geon	p. 195
Vacua on the Conformal Boundaries	p. 198
Holography and String Theory	p. 200
Concluding Remarks	p. 201
References	p. 201
Dirac-Bergmann Observables for Tetrad Gravity	p. 203
Meaning of Noncommutative Geometry and the Planck-Scale Quantum Group	p. 227
Introduction	p. 227
The Meaning of Noncommutative Geometry	p. 231
Fourier Theory	p. 242
Bicrossproduct Model of Planck-Scale Physics	p. 251
Def ormed Quantum Enveloping Algebras	p. 260
Noncommutative Differential Geometry and Riemannian Manif olds	p. 268
References	p. 274
Loop Quantum Gravity and the Meaning of Diffeomorphism Invariance	p. 277
Introduction	p. 277
Basic Formalism of Loop Quantum Gravity	p. 281
Quantization of the Area	p. 300
The Physical Contents ofQuantum Gravity and the Meaning of Diffeomorphism Invariance	p. 303
Dynamics, True Observables and Spin Foams	p. 311
Open Problems and Future Perspectives	p. 322
Black Holes in String Theory	p. 325
Introduction	p. 325
String Theory and Dualities	p. 329
Brane Solutions	p. 335
Black Holes in String Theory	p. 341
Gravitational waves and massless particle fields	p. 365
Planar Gravitational Waves	p. 365
Einstein-Scalar Waves	p. 368
Einstein-Dirac Waves	p. 370
Einstein-Maxwell Waves	p. 372
Table of Contents provided by Publisher. All Rights Reserved.

Towards Quantum Gravity

Proceedings of the XXXV International Winter School on Theoretical Physics, Held in Polanica, Poland, 2-11 February 19

At a Glance

Hardcover

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