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

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

by Julian B. Barbour

Product Details

Birkhauser Verlag
Publication date:
Einstein Studies Series, #6
Edition description:
Product dimensions:
9.21(w) x 6.14(h) x 1.25(d)

Related Subjects

Table of Contents

1Introduction and Historical
General Introduction1
Mach before Mach6
Mach's Principle before Einstein9
Mach's Criticism of Newton and Einstein's Reading of Mach: The Stimulating Role of Two Misunderstandings58
Einstein's Formulations of Mach's Principle67
General Discussion: What is The Machian Program?91
2Nonrelativistic Machian Theories
Selected Passages: Math, Poincare, Boltzmann109
Absolute or Relative Motion?114
On Absolute and Relative Motion120
Motion and Inertia128
On the Relativity of Accelerations in Mechanics134
The Possibility of Fulfillment of the Relativity Requirement in Classical Mechanics147
Weber's Law and Mach's Principle159
A Relative Newtonian Mechanics172
3General Relativity as a More or Less Machian Theory
Selected Passages on Machian Ideas180
Wheeler-Einstein-Mach Spacetimes188
Comments on Initial Value Formulation208
General Relativity as a Perfectly Machian Theory214
A Closed Universe Cannot Rotate237
4Other Formulations of Mach's Principle
Direct Particle Formulation of Mach's Principle250
Mach's Principle and the Creation of Matter262
The Integral Formulation of Mach's Principle274
Mach's Principle and Local Causal Structure293
5Frame Dragging
Absolute or Relative Motion?309
On a Gyroscope Experiment to Measure the Rotation Velocity of the Earth312
Dragging Effects near Rotating Bodies and in Cosmological Models315
Comments on Dragging Effects332
Dragging Effects near a Rigidly Rotating Disk of Dust339
Dragging Effects and the Theory of Active Galactic Nuclei347
On the Interpretation of Dragging Effects in Rotating Mass Shells353
6Experimental Status
Testing Machian Effects in Laboratory and Space Experiments365
Dragging of Inertial Frames, Gravitomagnetism, and Mach's Principle386
Time Variation of Fundamental Constants: Bounds from Local Data403
Machian Effects in Physical Law and the Field Paradigm of Modern Physics422
7Critical Reflections
Mach, the Expansion of the Universe, the Variation of Inertial Mass, and Lense-Thirring437
Mach's Principle and Theories of Gravitation442
Machian Ideas and General Relativity458
Reflections on Mach's Principle474
8Quantum Gravity
The Higgs Field and Mach's Principle of Relativity of Inertia479
Geometric Structures on Superspace491
General Discussion: Time, General Relativity, and Quantum Gravity501
Names and Addresses of Contributors527
Index of Different Formulations of Mach's Principle530
Name and Subject Index531

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