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Advances in the Interplay Between Quantum and Gravity Physics
In this contribution we describe some applications of geometric algebra to the field of black hole physics. Our main focus is on the properties of Dirac wavefunctions around black holes. We show the existence of normalised bound state solutions, with an associated decay rate controlled by an imaginary contribution to the energy eigenvalue. This is attributable to the lack of Hermiticity caused by a black hole singularity. We also give a treatment of the Feynman scattering problem for fermionsdoi:10.1007/978-94-010-0347-6_11 fatcat:xgqp67pyxjcmbhck6cwrmea4ia