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Contents | ||
Acknowledgments | ||
1 | Introduction and Historical | |
General Introduction | 1 | |
Mach before Mach | 6 | |
Mach's Principle before Einstein | 9 | |
Mach's Criticism of Newton and Einstein's Reading of Mach: The Stimulating Role of Two Misunderstandings | 58 | |
Einstein's Formulations of Mach's Principle | 67 | |
General Discussion: What is The Machian Program? | 91 | |
2 | Nonrelativistic Machian Theories | |
Introduction | ||
Selected Passages: Math, Poincare, Boltzmann | 109 | |
Absolute or Relative Motion? | 114 | |
On Absolute and Relative Motion | 120 | |
Motion and Inertia | 128 | |
On the Relativity of Accelerations in Mechanics | 134 | |
The Possibility of Fulfillment of the Relativity Requirement in Classical Mechanics | 147 | |
Weber's Law and Mach's Principle | 159 | |
A Relative Newtonian Mechanics | 172 | |
3 | General Relativity as a More or Less Machian Theory | |
Introduction | ||
Selected Passages on Machian Ideas | 180 | |
Wheeler-Einstein-Mach Spacetimes | 188 | |
Comments on Initial Value Formulation | 208 | |
General Relativity as a Perfectly Machian Theory | 214 | |
A Closed Universe Cannot Rotate | 237 | |
4 | Other Formulations of Mach's Principle | |
Direct Particle Formulation of Mach's Principle | 250 | |
Mach's Principle and the Creation of Matter | 262 | |
The Integral Formulation of Mach's Principle | 274 | |
Mach's Principle and Local Causal Structure | 293 | |
5 | Frame Dragging | |
Absolute or Relative Motion? | 309 | |
On a Gyroscope Experiment to Measure the Rotation Velocity of the Earth | 312 | |
Dragging Effects near Rotating Bodies and in Cosmological Models | 315 | |
Comments on Dragging Effects | 332 | |
Dragging Effects near a Rigidly Rotating Disk of Dust | 339 | |
Dragging Effects and the Theory of Active Galactic Nuclei | 347 | |
On the Interpretation of Dragging Effects in Rotating Mass Shells | 353 | |
6 | Experimental Status | |
Testing Machian Effects in Laboratory and Space Experiments | 365 | |
Dragging of Inertial Frames, Gravitomagnetism, and Mach's Principle | 386 | |
Time Variation of Fundamental Constants: Bounds from Local Data | 403 | |
Machian Effects in Physical Law and the Field Paradigm of Modern Physics | 422 | |
7 | Critical Reflections | |
Mach, the Expansion of the Universe, the Variation of Inertial Mass, and Lense-Thirring | 437 | |
Mach's Principle and Theories of Gravitation | 442 | |
Machian Ideas and General Relativity | 458 | |
Reflections on Mach's Principle | 474 | |
8 | Quantum Gravity | |
The Higgs Field and Mach's Principle of Relativity of Inertia | 479 | |
Geometric Structures on Superspace | 491 | |
General Discussion: Time, General Relativity, and Quantum Gravity | 501 | |
Names and Addresses of Contributors | 527 | |
Index of Different Formulations of Mach's Principle | 530 | |
Name and Subject Index | 531 |
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