The spin correlation of fermion pairs created by a Kerr black hole gravitational potential

Abstract

Abstract We study the properties of massive fermions created and scattered by a rotating Kerr black hole. The helicities of the scattered fermions can vary during propagation. A fermion with a right-handed helicity can become either right or left-handed after interacting with the gravitational potential. This implies that measuring characteristics of an escaping particle is insufficient to reconstruct all the characteristics of its infalling partner. This further means the helicities of a particle pair created by the gravitational potential are not fully entangled. Since spin and helicity share many common features, it is likely that the same is true for spins of spontaneously created particles.