Anyonic spin-Hall effect on the black hole horizon
Résumé
Using the fact that the horizon of black holes is a Carroll manifold, we show that an "exotic photon" i.e. a mass and chargeless particle 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, disproving the long-thought statement that Carroll particles cannot move.
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