Some ways parameter calculation curvilinear uniformly accelerated motion

TL;DR

This paper explores methods to calculate parameters of uniformly accelerated reference frames, derives explicit transformations, and investigates the relationship between Thomas precession and Wigner rotation, showing they cancel each other.

Contribution

It introduces explicit transformation formulas for uniformly accelerated frames and clarifies the relationship between Thomas precession and Wigner rotation.

Findings

Thomas precession and Wigner rotation are in opposite directions.

The two effects cancel each other out.

Three equivalent methods to calculate parameters of accelerated frames.

Abstract

The parameters of uniformly accelerated reference frame s three equivalent ways is calculated. The article also found explicitly transformation to uniformly accelerated reference frame and proved the assertion that Thomas precession and Wigner rotation s in opposite directions and cancel each other out.