Space-time Symmetry and Quantum Yang-Mills Gravity How Space-time Translational Gauge Symmetry Enables the Unification of Gravity with Other Forces

Pt. I. The taiji symmetry framework / Leonardo Hsu and Jong-Ping Hsu. 1. Space-time symmetry, natural units and fundamental constants. 1.1. Underpinnings. 1.2. Physical basis for the system of natural units. 1.3. Nature of the fundamental constants -- 2. The taiji relativity framework. 2.1. A new space-time framework. 2.2. Taiji relativity. 2.3. Operationalization of taiji time. 2.4. Conceptual difference between taiji relativity and special relativity. 2.5. A short digression: the role of a second postulate -- 3. The principle of limiting continuation of physical laws and coordinate transformations for frames with constant accelerations. 3.1. The principle of limiting continuation. 3.2. Constant linear acceleration: the Wu transformations. 3.3. Operational meaning of the space-time coordinates and 'constant-linear-acceleration'. 3.4. Singular walls and horizons in accelerated frames. 3.5. The Wu pseudo-group. 3.6. Relationship between theWu and Møller transformations. 3.7. Experimental tests of the Wu transformations -- 4. Coordinate transformations for frames with arbitrary linear accelerations and the taiji pseudo-group. 4.1. Arbitrary linear accelerations: the taiji transformations. 4.2. Poincaré metric tensors for arbitrary-linear-acceleration frames. 4.3. New properties of the taiji transformations. 4.4. Physical implications. 4.5. Experimental tests of the taiji transformations -- 5. Coordinate transformations for rotating frames and experimental tests. 5.1. Rotational taiji transformations. 5.2. Metric tensors for the space-time of rotating frames. 5.3. The rotational pseudo-group. 5.4. Physical implications. 5.5. Experimental tests of the rotational taiji transformations -- 6. Conservation laws and symmetric energy-momentum tensors. 6.1. Conservation laws in the Taiji symmetry framework. 6.2. Symmetric energy-momentum tensors and variations of metric tensors intaiji space-time. 6.3. Integral forms of conservation laws in non-inertial frames. 6.4. Symmetry implications of global and local space-time translations