The twin paradox and Mach's principle

TL;DR

This paper examines the twin paradox and Mach's principle, arguing that the behavior of clocks is ultimately due to spacetime's autonomous nature, challenging Mach's relational view.

Contribution

It demonstrates that the clock paradox's behavior cannot be fully explained by Mach's relational principle, emphasizing spacetime's autonomous role.

Findings

Clock behavior linked to spacetime's autonomous status

Mach's relational principle insufficient to explain clock paradox

Supports spacetime as an independent entity

Abstract

The problem of absolute motion in the context of the twin paradox is discussed. It is shown that the various versions of the clock paradox feature some aspects which Mach might have been appreciated. However, the ultimate cause of the behavior of the clocks must be attributed to the autonomous status of spacetime, thereby proving the relational program advocated by Mach as impracticable.