Five-Dimensional Physics : Classical and Quantum Consequences of Kaluza-Klein Cosmology

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Format: Hardcover
Pub. Date: 2006-04-30
Publisher(s): World Scientific Pub Co Inc
List Price: $104.00

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Summary

Extra dimensions - beyond space and time - are the best methods for unifying gravity with particle physics. The basic extension is to five dimensions (5D), as in the induced-matter and membrane theory. This descriptive text gives an up-to-date account of the classical and quantum consequences of 5D physics. It includes topics that range from Einstein's original theory of relativity to modern views on matter. The book is mathematically precise and focuses on new ideas which appeal to readers. Examples of new ideas are: The big-bang universe, which is curved by matter in 4D, may be viewed as a smooth and empty world in 5D; the uncertainty of quantum interactions in spacetime may be regarded as the consequence of deterministic laws in higher dimensions. This book will interest people who think about the 'meaning of things'. Contents: Higher-Dimensional Physics; The Big Bang Revisited; Paths in Hyperspace; Quantum Consequences; The Cosmological "Constant" and Vacuum; Embeddings in N 5 Dimensions; Perspectives in Physics. Key Features A rare account of higher-dimensional physics Clear and fluid style Broad coverage of topics, blackholes, particle physics, cosmology Readership: Graduate students and researchers in physics and astronomy.

Table of Contents

Preface v
1. HIGHER-DIMENSIONAL PHYSICS 1(33)
1.1 Introduction
1(1)
1.2 Dimensions Then and Now
2(4)
1.3 Higher-Dimensional Theories
6(4)
1.4 Field Equations in N> 4 Dimensions
10(14)
1.5 A Primer on Campbell's Theorem
24(4)
1.6 Conclusion
28(6)
2. THE BIG BANG REVISITED 34(30)
2.1 Introduction
34(1)
2.2 Flat 5D Universes
35(8)
2.3 The Singularity as a Shock Wave
43(4)
2.4 A Bounce Instead of a Bang
47(7)
2.5 The Universe as a 5D Black Hole
54(6)
2.6 Conclusion
60(4)
3. PATHS IN HYPERSPACE 64(36)
3.1 Introduction
64(1)
3.2 Dynamics in Spacetime
65(5)
3.3 Fifth Force from Fifth Dimension
70(7)
3.4 Null Paths and Two Times
77(4)
3.5 The Equivalence Principle as a Symmetry
81(9)
3.6 Particle Masses and Vacua
90(5)
3.7 Conclusion
95(5)
4. QUANTUM CONSEQUENCES 100(34)
4.1 Introduction
100(2)
4.2 4D Uncertainty from 5D Determinism
102(5)
4.3 Is Mass Quantized?
107(5)
4.4 The Klein-Gordon and Dirac Equations
112(7)
4.5 Gauges and Spins
119(5)
4.6 Particles and Waves: A Rapprochement
124(5)
4.7 Conclusion
129(5)
5. THE COSMOLOGICAL "CONSTANT" AND VACUUM 134(36)
5.1 Introduction
134(4)
5.2 The 5D Cosmological "Constant"
138(12)
5.3 Astrophysical Consequences
150(8)
5.4 Vacuum Instability
158(4)
5.5 Mach's Principle Anew
162(3)
5.6 Conclusion
165(5)
6. EMBEDDINGS IN N > or equal to 5 DIMENSIONS 170(32)
6.1 Introduction
170(1)
6.2 Embeddings and Physics
171(3)
6.3 The Algebra of Embeddings
174(8)
6.4 The Campbell-Magaard Theorem
182(5)
6.5 Induced-Matter Theory
187(4)
6.6 Membrane Theory
191(7)
6.7 Conclusion
198(4)
7. PERSPECTIVES IN PHYSICS 202(19)
Index 221

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