Relativistic length expansion in general accelerated system revisited

TL;DR

This paper revisits the relativistic length expansion in accelerated systems, providing an exact representation and correcting the standard solutions, including a detailed analysis of Bell's problem and proper length measurements.

Contribution

It offers a revised, precise formulation of length behavior in accelerated frames and addresses inaccuracies in the classical solutions of Bell's problem.

Findings

Corrected the standard solution of Bell's problem.

Provided an exact representation of length expansion in accelerated systems.

Successfully analyzed proper length measurement between Bell's rockets.

Abstract

The aim of the present article is to give an exact and correct representation of the essentially important part of modern special relativity theory that touches upon the behavior of the proper length of accelerated moving bodies.In particular we pointed out that standard solution of the Bell's problem [3]-[4]revision needed. Classical solution of the relativistic length expansion in general accelerated system completely revisited.Instant proper length measurement between J.S.Bell's rockets also is considered successfully.