Mach's Principle: From Newton's Bucket to Quantum Gravity / Edition 1

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More About This Textbook

Product Details

  • ISBN-13: 9780817638238
  • Publisher: Birkhauser Verlag
  • Publication date: 8/11/1995
  • Series: Einstein Studies Series , #6
  • Edition description: 1995
  • Edition number: 1
  • Pages: 536
  • Product dimensions: 9.21 (w) x 6.14 (h) x 1.25 (d)

Table of Contents

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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