Near-horizon aspects of acceleration radiation by free fall of an atom into a black hole

Abstract

A two-level atom freely falling towards a Schwarzschild black hole was recently shown to detect radiation in the Boulware vacuum in an insightful paper [M. O. Scully et al., PNAS 115(32), 8131 (2018)]. The two-state atom acts as a dipole detector and its interaction with the field can be modeled using a quantum optics approach. The relative acceleration between the scalar field and the detector causes the atom to detect the radiation. In this paper, we show that this acceleration radiation is driven by the near-horizon physics of the black hole. This insight reinforces the relevance of near-horizon conformal quantum mechanics for all the physics associated with the thermodynamic properties of the black hole. We additionally highlight the conformal aspects of the radiation that is given by a Planck distribution with the Hawking temperature.

Horizon thermalization of Kerr black hole through local instability

“…As we have already obtained the energy solution with the negative sign corresponds to the ingoing particle, therefore consequently we can tell that the energy solution with the positive sign corresponds to the outgoing particle. However, in this case we want to affirm that this energy solution of the outgoing particle exactly matches with the energy solution which we obtained earlier (39) with the knowledge of the outgoing particle trajectory (15). From the positive energy solution of (41), using Hamilton's equation of motion we obtain the radial equation of motion of the outgoing particle which is…”