Lorentz contraction and accelerated systems

TL;DR

This paper examines how Lorentz contraction behaves in accelerated systems within special relativity, highlighting differences based on the physical connection of objects and confirming the theory's internal consistency.

Contribution

It provides a detailed analysis of Lorentz contraction in accelerated frames, considering connected and disconnected objects, and demonstrates the self-consistency of special relativity in these scenarios.

Findings

Lorentz contraction varies with acceleration and object connection.

Special relativity remains self-consistent in accelerated systems.

Differences arise between connected and disconnected world lines.

Abstract

The paper discusses the problem of the Lorentz contraction in accelerated systems, in the context of the special theory of relativity. Equal proper accelerations along different world lines are considered, showing the differences arising when the world lines correspond to physically connected or disconnected objects. In all cases the special theory of relativity proves to be completely self-consistent