The Hole Argument for Reference Frames

TL;DR

This paper examines how the choice of reference frames impacts the Hole Argument in gravity, introducing the Arbitrariness Problem as a new challenge to determinism in this context.

Contribution

It analyzes the role of reference frames in the Hole Argument and proposes the Arbitrariness Problem as a novel issue arising from reference frame freedom.

Findings

Identifies the Arbitrariness Problem as a new threat to determinism

Analyzes the impact of reference frame choices on the Hole Argument

Builds on recent results by Bamonti and Gomes (2024)

Abstract

We exploit the results of Bamonti and Gomes (2024) concerning the dynamical (un)coupling of reference frames to gravity to analyse the role of reference frames in the Hole Argument. We introduce a new possible threat to determinism, which we call Arbitrariness Problem (ARB), resulting from the inherent freedom in selecting a reference frame.