Twistor-beam excitations of black holes and prequantum Kerr–Schild geometry

Exact Kerr–Schild (KS) solutions for electromagnetic excitations of black holes are singular beams supported on twistor lines of the KS geometry. These beams have a very strong back-reaction on the metric and horizon and create a fluctuating KS geometry occupying an intermediate position between the classical and quantum gravities. We consider the Kerr theorem, which determines the twistor structure of the KS geometry and the corresponding holographic prequantum space–time adapted to a subsequent quantum treatment.