Generalized lorentz transformations for linearly accelerated frames with limiting four-dimensional symmetry

Based on the principle of limiting four-dimensional symmetry, we discuss coordinate transformations for constant-linear-acceleration (CLA) frames. We derive a new "Wu transformation" which reduces to the Lorentz transformation in the limit of zero acceleration. The time for an accelerated frame can be realized by "computerized clocks". A 'CLA coordinate' (w, x, y, z) is preferred for the accelerated transformation and has as much physical meaning for an accelerated frame F as (w_I, x_I, y_I/, z_I) for an inertial frame F_I. Furthermore, constant-linear-acceleration αa must be constant increase of a particle's "energy" per unit length, in consistent with what has been realized in high energy linear accelerators. Some experimental implications are discussed. PACS. 04.20.-q - Classical general relativity. PACS. 11.30.Cp - Lorentz and Poincare invariance. PACS. 03.30,+p - Special relativity.