On Galilean and Lorentz invariance in pilot-wave dynamics

TL;DR

This paper argues that pilot-wave theory's natural kinematics is Aristotelian, and that Galilean and Lorentz invariances are not fundamental symmetries but artificially imposed, challenging common assumptions about relativistic extensions.

Contribution

It clarifies the true kinematic nature of pilot-wave theory and questions the physical validity of seeking Lorentz-invariant extensions.

Findings

Galilean invariance is not fundamental in pilot-wave dynamics

The natural kinematics of the theory is Aristotelian

Searching for Lorentz-invariant extensions is misguided

Abstract

It is argued that the natural kinematics of the pilot-wave theory is Aristotelian. Despite appearances, Galilean invariance is not a fundamental symmetry of the low-energy theory. Instead, it is a fictitious symmetry that has been artificially imposed. It is concluded that the search for a Lorentz-invariant extension is physically misguided.