General-linear-acceleration transformations of spacetime, jerks and limiting 4-dimensional symmetry

Based on the limiting 4-dimensional symmetry of the Lorentz and Poincare 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, Mphiller, Poincar6 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 alpha(e) = 1/137.035989 and a new quantum constant J = 3.5177293 X 10(-38)g . cm, are truly universal constants in both inertial and non-inertial frames.