Hall effects in Carroll dynamics

Understand

``Do Carroll particles move?'' The answer depends on the characteristics of the particle such as its mass, spin, electric charge, and magnetic moment.

• A massive Carroll particle (closely related to fractons) does not move; its immobility follows from Carroll boost symmetry which implies dipole conservation, but not conversely.
• A massless Carroll particle may propagate by following the Hall law, consistently with the partial breaking of the Carroll boost symmetry.
• The framework is extended to Carroll field theory.