Remarks on Galilean electromagnetism

TL;DR

This paper demonstrates that Galilean electromagnetism equations with sources are invariant under the l-conformal Galilei group, which includes transformations linking inertial and accelerated frames, indicating possible dynamical instability.

Contribution

It establishes the invariance of Galilean electromagnetism equations under the l-conformal Galilei group for any half-integer l, highlighting implications for dynamical stability.

Findings

Galilean electromagnetism equations are invariant under the l-conformal Galilei group.

The group includes transformations connecting inertial and accelerated frames.

Potential dynamical instability is suggested by these transformations.

Abstract

It is shown that equations describing the Galilean electromagnetism in the presence of sources hold invariant under the l-conformal Galilei group for an arbitrary (half)integer parameter l. The group contains transformations which link an inertial frame of reference to those moving with constant accelerations of order up to 2l-1, thus pointing at potential dynamical instability.