100 Years of Gravity And Accelerated Frames

by Hsu, Jong-Ping; Fine, Dana

• ISBN13: 9789812563354
• ISBN10: 9812563350
• Format: Hardcover
• Copyright: 2005-11-30
• Publisher: World Scientific Pub Co Inc

Summary

This collection of papers presents ideas and problems arising over the past 100 years regarding classical and quantum gravity, gauge theories of gravity, and spacetime transformations of accelerated frames. Both Einstein's theory of gravity and the Yang?Mills theory are gauge invariant. The invariance principles in physics have transcended both kinetic and dynamic properties and are at the very heart of our understanding of the physical world. In this spirit, this book attempts to survey the development of various formulations for gravitational and Yang?Mills fields and spacetime transformations of accelerated frames, and to reveal their associated problems and limitations. The aim is to present some of the leading ideas and problems discussed by physicists and mathematicians. We highlight three aspects: formulations of gravity as a Yang?Mills field, first discussed by Utiyama; problems of gravitational theory, discussed by Feynman, Dyson and others; spacetime properties and the physi

Table of Contents

Preface	ix
Acknowledgements	xiv
Remarks on the Development of the Gravitational and Yang-Mills Fields, and Accelerated Frames	xix
The Dawn of Gravitation
The Mathematical Principles of Natural Philosophy (Extract) Rules of Reasoning in Philosophy Phenomena, or Appearances	2	(11)
I. Newton
A. Motte
On the Dynamics of the Electron (Extract) Introduction, Hypotheses Concerning Gravitation	13	(20)
H. Poincare
G. Pontecorvo
A. A. Logunov
On the Relativity Principle and the Conclusions Drawn from It (Extract)	33	(15)
A. Einstein
A. Beck
Einstein's Deepest Insight and Its Early Impacts
Outline of a Generalized Theory of Relativity and of a Theory of Gravitation (Extract)	48	(17)
A. Einstein
M. Grossmann
A. Beck
The Foundation of the General Theory of Relativity	65	(55)
A. Einstein
W. Perrett
G. B. Jeffery
The Foundation of Physics	120	(12)
D. Hilbert
D. Fine
On a Generalization of the Concept of Riemann Curvature and Spaces with Torsion	132	(4)
E. Cartan
A. Fine
The Scalar-Tensor Theory of Gravity
Formation of the Stars and Development of the Universe	136	(4)
P. Jordan
On the Physical Interpretation of P. Jordan's Extended Theory of Gravitation (Extract)	140	(2)
von M. Fierz
D. Fine
Mach's Principle and a Relativistic Theory of Gravitation (Extract)	142	(8)
C. Brans
R. H. Dicke
Yang-Mills' Deepest Insight and Its Relation to Gravity
Conservation of Isotopic Spin and Isotopic Gauge Invariance	150	(5)
C.N. Yang
R. L. Mills
Conservation of Heavy Particles and Generalized Gauge Transformations	155	(2)
T. D. Lee
C. N. Yang
Invariant Theoretical Interpretation of Interaction	157	(11)
R. Utiyama
Lorentz Invariance and the Gravitational Field	168	(12)
T.W.B. Kibble
Accelerated Frames: Generalizing the Lorentz Transformations
On Homogeneous Gravitational Fields in the General Theory of Relativity and the Clock Paradox	180	(24)
C. Moller
Physical Consequences of a Co-ordinate Transformation to a Uniformly Accelerating Frame	204	(19)
T. Fulton
F. Rohrlich
L. Witten
The Clock Paradox in the Relativity Theory	223	(17)
T.Y. Wu
Y. C. Lee
Four-dimensional Symmetry of Taiji Relativity and Coordinate Transformations Based on a Weaker Postulate for the Speed of Light (Extract)	240	(7)
J. P. Hsu
L. Hsu
Generalized Lorentz Transformations for Linearly Accelerated Frames with Limiting Four-Dimensional Symmetry	247	(11)
J. P. Hsu
L. Hsu
Generalizing Lorentz Transformations for Accelerated Frames and Their Physical Implications	258	(14)
D. T. Schmitt
T. Kleinschmidt
Quantum Gravity and `Ghosts'
Quantum Theory of Gravitation	272	(26)
R. P. Feynman
Quantum Theory of Gravity. II The Manifestly Covariant Theory (Extract)	298	(9)
B. S. DeWitt
Quantum Theory of Gravity, III Applications of the Covariant Theory	307	(18)
B. S. DeWitt
Feynman Diagrams for the Yang-Mills Field	325	(2)
L. D. Faddeev
V. N. Popov
Feynman Rules for Electromagnetic and Yang-Mills Fields from the Gauge-Independent Field-Theoretic Formalism (Extract)	327	(12)
S. Mendelstam
S Matrix for Yang-Mills and Gravitational Fields (Extract)	339	(8)
E. S. Fradkin
I. V. Tyutin
Missed Opportunities (Extract, with a brief comment of the author) Introduction, General Coordinate Invariance	347	(7)
F. J. Dyson
Gauge Theories of Gravity
Extended Translation Invariance and Associated Gauge Fields	354	(17)
K. Hayashi
T. Nakano
Gravitational Field as a Generalized Gauge Field	371	(16)
R. Utiyama
T. Fukuyama
Integral Formalism for Gauge Fields (with a brief comment)	387	(4)
C. N. Yang
Yang's Gravitational Field Equations	391	(2)
W. T. Ni
Einstein Lagrangian as the Translational Yang-Mills Lagrangian	393	(5)
Y. M. Cho
De Sitter and Poincare Gauge-Invariant Fermion Lagrangians and Gravity	398	(4)
J. P. Hsu
Alternate Approaches to Gravity: Roads Less Traveled By
Fixation of Coordinates in the Hamiltonian Theory of Gravitation	402	(7)
P.A.M. Dirac
New General Relativity (with Addendun)	409	(33)
K. Hayashi
T. Shirafuji
Relativistic Theory of Gravitation	442	(20)
A. A. Logunov
M. A. Mestvirishvili
Yang-Mills Gravity: A Union of Einstein--Grossmann Metric with Yang-Mills Tensor Fields in Flat Spacetime with Translation Symmetry	462	(14)
J. P. Hsu
Experimental Tests of Gravitational Theories
Empirical Foundations of the Relativistic Gravity	476	(18)
W.T. Ni
Binary Pulsars and Relativistic Gravity	494	(10)
J. H. Taylor, Jr.
Other Perspectives
Concept of Nonintegrable Phase Factors and Global Formulation of Gauge Fields (Extract)	504	(8)
T.T. Wu
C. N. Yang
Gauge Fields	512	(15)
R. L. Mills
Magnetic Monopoles, Fiber Bundles, and Gauge Fields	527	(12)
C. N. Yang
Gauge Theory: Historical Origins and Some Modern Developments	539	(23)
L. O'Raifeartaigh
N. Straumann
String Theory as a Generalization of Gauge Symmetry	562	(7)
P.-M. Ho
The Cosmological Constant Problem	569	(23)
S. Weinberg
The Cosmological Constant and Dark Energy (Extract)	592	(26)
P. J. E. Peebles
B. Ratra
Appendices
Marcel Grossmann (1878-1936)	618	(4)
J. P. Hsu
D. Fine
Remembering Robert L. Mills	622
S. L. Marateck