General-Linear-Acceleration Transformations of Spacetime, Jerks and Limiting 4-Dimensional Symmetry

Jong-Ping Hsu

《Chinese Journal of Physics》 40卷3期 (2002/06) Pp. 265-276

並列摘要

Based on the limiting 4-dimensional symmetry of the Lorentz and Poincaré groups, new general spacetime transformations for frames with arbitrary linear acceleration in any direction are obtained in a fairly simple form. A new feature in the metric tensors is the presence of jerk, the time derivative of acceleration. The Riemann curvature tensor of spacetime in these non-inertial frames vanishes. For one-dimensional motion, the general spacetime transformations are shown to form a group. The transformations of Wu, MØller, Poincaré and Lorentz are special limiting cases of this general-linear-acceleration transformation. The Planck constant h and the speed of light c are not invariant universal constants under such general spacetime transformations. The theory suggests that the electromagnetic coupling strength αe = 1/137.035989 and a new quantum constant J = 3.5177293 × 10^(-38)g‧cm, are truly universal constants in both inertial and non-inertial frames.