100 Years of Gravity and Accelerated Frames

This collection of papers presents ideas and problems that have arisen over the past 100 years regarding classical and quantum gravity, gauge theories of gravity, and space-time transformations of accelerated frames. That's because both Einstein's theory of gravity and the Yang-Mills theory are gauge-invariant, and 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. This book attempts to survey the development of various formulations for gravitational and Yang-Mills fields and space-time transformations of accelerated frames, and to reveal their associated problems and limitations.

The book highlights three aspects: formulations of gravity as a Yang-Mills field, first discussed by Utiyama; problems of gravitational theory, discussed by Feynman, Dyson and others; space-time properties and the physics of fields and particles in accelerated frames of reference.

These unfulfilled aspects of Einstein's and Yang–Mills' profound thoughts present a great challenge to physicists and mathematicians in the 21st century.