This book shows how one can combine Yang Mills gauge symmetry and effective Einstein Grossmann metric tensors to tackle physical problems at microscopic, macroscopic and super-macroscopic length scales. In particular, the combination of gauge symmetry and an effective metric tensor provides a framework for and leads to an alternative dynamics of cosmic expansion based on quantum Yang Mills gravity at the super-macroscopic limit. Together with the cosmological principle, one can investigate and derive expanding scale factors, the age of the universe, the cosmic redshift, and the Hubble recession velocity. Furthermore, this framework leads to a possible explanation for the late-time accelerated cosmic expansion due to baryon masses and charges. All these discussions are based on the operationally defined space and time coordinates of inertial frames. Finally, this book expounds on the intimate relationship between space-time translation gauge symmetry and the beautiful ideas of the Lie derivative and Pauli's variation. One interesting application of the Lie derivative is to formulate a gravitational theory with an external space-time gauge group, which leads to Yang Mills gravity.

About the Author

Jong-Ping Hsu received his BS from the National Taiwan University and MS from the National Tsing Hua University. He earned his PhD degree in 1969 studying particle physics at the University of Rochester with Professor S Okubo. He has done research at McGill University, Rutgers, the University of Texas at Austin, the Marshall Space Flight Center, NASA, and the University of Massachusetts Dartmouth. He has been a visiting scientist at Brown, MIT, Taiwan University, Beijing Normal University, and the Academy of Science, China. His research is concentrated in the areas of gauge field theories, Yang Mills gravity, total-unified model of interactions and broad views of 4-dimensional symmetry. He has published more than 150 papers and articles, and three books, Space-Time Symmetry and Quantum Yang Mills Gravity (with L Hsu, World Scientific, 2013), A Broader View of Relativity, General Implications of Lorentz and Poincar� Invariance (with L Hsu, World Scientific, 2006) and Lorentz and Poincar� Invariance (with Y Z Zhang, World Scientific, 2001). He has also co-edited five conference proceedings and the book 100 Years of Gravity and Accelerated Frames The Deepest Insights of Einstein and Yang Mills (with D Fine, World Scientific, 2005). He has been a chancellor professor and the Director of the Jing Shin Research Fund at the University of Massachusetts Dartmouth.

Leonardo Hsu earned his AB at Harvard University and his PhD studying semiconductor physics at the University of California, Berkeley. After doing a postdoc at the Center for Innovation in Learning at Carnegie Mellon University, he joined the faculty of the University of Minnesota, Twin Cities in 2000 and Santa Rosa Junior College in 2017. His research includes both experimental and theoretical work. His primary interest is in studying how students learn to solve problems in introductory physics courses and the attitudes and beliefs of non-science majors about physics and the learning of physics. He has also done work on transport processes in semiconductors and their alloys, as well as on some aspects of different relativity theories. He was a co-editor of the JingShin Theoretical Physics Symposium in Honor of Professor Ta-You Wu (World Scientific, 1998) and a co-author on Space-Time Symmetry and Quantum Yang Mills Gravity (World Scientific, 2013) and A Broader View of Relativity, General Implications of Lorentz and Poincar� Invariance (World Scientific, 2006). His work has been supported by the National Science Foundation.

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