A New Kind of Uniformly Accelerated Reference Frames

TL;DR

This paper introduces a novel class of uniformly accelerated reference frames where all observers at fixed spatial coordinates experience identical constant acceleration, differing from traditional Møller and Rindler frames, with analysis of mechanics laws and thermal properties.

Contribution

It presents a new type of uniformly accelerated frames with a unique line-element, expanding the understanding of accelerated reference frames beyond Møller and Rindler models.

Findings

All observers at fixed positions have the same constant acceleration.

The laws of mechanics are consistent within the new frames.

The thermal properties of the new frames are analyzed and compared.

Abstract

A new kind of uniformly accelerated reference frames with a line-element different from the M{\o}ller and Rindler ones is presented, in which every observer at $x, y, z=$consts. has the same constant acceleration. The laws of mechanics are checked in the new kind of frames. Its thermal property is studied. The comparison with the M{\o}ller and Rindler uniform accelerated reference frames is also made.