Anyonic spin-Hall effect on the Black Hole horizon

TL;DR

This paper demonstrates that an exotic anyonic photon with unique properties moves on a black hole horizon following the Hall law, leveraging the Carroll manifold structure of the horizon.

Contribution

It introduces the concept of an anyonic photon with exotic charges moving on a black hole horizon, connecting Carroll geometry with Hall effect phenomena.

Findings

Anyonic photon obeys the Hall law on the black hole horizon.

Black hole horizon modeled as a Carroll manifold.

Consistent dynamics of exotic particles on black hole horizons.

Abstract

Using the fact that the horizon of black holes is a Carroll manifold, we show that an ``exotic photon'' i.e. a particle without mass and charge but with anyonic spin, magnetic moment and ``exotic'' charges associated with the 2-parameter central extension of the 2-dimensional Carroll group moves on the horizon of a Kerr-Newman Black Hole consistently with the Hall law.