Generalization of the Thomas-Wigner Rotation to Uniformly Accelerating Boosts

Abstract

In the current paper we present a generalization of the transforms from the frame co-moving with an accelerated particle for uniformly accelerated motion into an inertial frame of reference. The motivation is that the real life applications include accelerating and rotating frames with arbitrary orientations more often than the idealized case of inertial frames; our daily experiments happen in Earth-bound laboratories. We use the transforms in order to generalize the Thomas-Wigner rotation to the case of uniformly accelerated boosts.