Space-Time Symmetry And Quantum Yang-Mills Gravity: How Space-Time Translational Gauge Symmetry Enables The Unification Of Gravity With Other Forces, 1st Edition

  • Published By: World Scientific Publishing Company
  • ISBN-10: 9814436194
  • ISBN-13: 9789814436199
  • DDC: 530.14
  • Grade Level Range: College Freshman - College Senior
  • 288 Pages | eBook
  • Original Copyright 2013 | Published/Released January 2015
  • This publication's content originally published in print form: 2013

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Yang-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 Einsteins principle of general coordinate invariance and modern schemes for a quantum mechanical description of nature, and Noethers ‘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 Contents

Front Cover.
Half Title Page.
Other Frontmatter.
Title Page.
Copyright Page.
Other Frontmatter.
Other Frontmatter.
About the Authors.
1: The Taiji Symmetry Framework.
2: Space-Time Symmetry, Natural Units and Fundamental Constants.
3: The Taiji Relativity Framework.
4: The Principle of Limiting Continuation of Physical Laws and Coordinate Transformations for Frames with Constant Accelerations.
5: Coordinate Transformations for Frames with Arbitrary Linear Accelerations and the Taiji Pseudo-Group.
6: Coordinate Transformations for Rotating Frames and Experimental Tests.
7: Conservation Laws and Symmetric Energy-Momentum Tensors.
8: Quantum Yang-Mills Gravity.
9: The Yang-Mills-Utiyama-Weyl Framework for Internal and External Gauge Symmetries.
10: Yang-Mills Gravity Based on Flat Space-time and Effective Curved Space-Time for Motions of Classical Objects.
11: Experimental Tests of Classical Yang-Mills Gravity.
12: The S-Matrix in Yang-Mills Gravity.
13: Quantization of Yang-Mills Gravity and Feynman-Dyson Rules.
14: Gravitational Self-Energy of the Graviton.
15: Space-Time Gauge Identities and Finite-Loop Renormalization.
16: A Unified Gravity-Electroweak Model.
17: A Unified Gravity-Strong Force Model.
18: Outlook.
The Fock-Hilbert Approach to Local Symmetry and Conservation Laws in General Frames of Reference.
Calculations of Hμν in the Gravitational Field Equation.
Tensor Properties of Physical Quantities in Taiji Space-Time.
Author Index.
Subject Index.