Description
Book SynopsisYang-Mills gravity is a new theory, consistent with experiments, that brings gravity back to the arena of gauge field theory and quantum mechanics in flat space-time. It provides solutions to long-standing difficulties in physics, such as the incompatibility between Einstein's principle of general coordinate invariance and modern schemes for a quantum mechanical description of nature, and Noether's ‘Theorem II’ which showed that the principle of general coordinate invariance in general relativity leads to the failure of the law of conservation of energy. Yang-Mills gravity in flat space-time appears to be more physically coherent than conventional gravity in curved space-time. The problems of quantization of the gravitational field, the operational meaning of space-time coordinates and momenta, and the conservation of energy-momentum are all resolved in Yang-Mills gravity.The aim of this book is to provide a treatment of quantum Yang-Mills gravity, with an emphasis on the ideas and evidence that the gravitational field is the manifestation of space-time translational symmetry in flat space-time, and that there exists a fundamental space-time symmetry framework that can encompass all of physics, including gravity, for all inertial and non-inertial frames of reference.
Table of ContentsTaiji Symmetry Framework for all Physics in Inertial and Non-Inertial Frames of Reference: Space-Time Symmetry, Natural Units and Fundamental Constants; Taiji Relativity Based Solely on the Principle of Relativity; Limiting Continuation of Space-Time Transformations and Accelerated Wu Transformations; General Linear-Acceleration Transformations and Taiji Pseudo-Group; Rotational Space-Time Transformations and Rotational Pseudo-Group; Taiji Symmetry Framework and Symmetric Energy-Momentum Tensors; Yang - Mills Gravity and its Unification with Other Interactions Based on Taiji Symmetry Framework: Yang - Mills - Utiyama - Weyl Framework for Internal and External Gauge Symmetries; Yang - Mills Gravity Based on Taiji Space-Time and Effective Metric Tensors for Planets' Motion; Experimental Consistency of Yang - Mills Gravity; Quantization of Yang - Mills Gravity and Feynman Rules; The S-Matrix of Yang - Mills Gravity, Gauge Invariance and Unitarity; Gravitational Self-Energies of the Gravition; Space-Time Gauge Identities and Finite-Loop Renormalization for Gravity; The Unified Gravity-Electroweak Model Within Yang - Mills - Utiyama - Weyl Framework; A Unified Model of Quantum Chromodynamics and Yang - Mills Gravity; Outlook.
