This paper presents a derivation of Hawking radiation as a tunneling process, based on particles in a dynamical geometry. The imaginary part of the action for the classically forbidden process is related to the Boltzmann factor for emission at the Hawking temperature. The derivation respects conservation laws, leading to a non-thermal spectrum. The authors compare this with the problem of spontaneous emission of charged particles from a charged conductor.
The paper introduces a coordinate system that avoids singularities at the horizon, allowing for a description of across-horizon phenomena. The radial null geodesics are given by a specific equation, and the self-gravitation of particles is considered. The imaginary part of the action for an outgoing particle is calculated, leading to an expression for the emission rate. This rate is found to be exponential in the change in Bekenstein-Hawking entropy, consistent with thermal emission at the Hawking temperature.
The authors also consider the case of a charged black hole, where the emission rate is modified due to electromagnetic forces. The calculation shows that the emission rate is consistent with Hawking's result for a charged black hole, with corrections due to energy conservation.
The paper also discusses the relation to electric discharge, comparing the physics of tunneling in electric and gravitational systems. While electric charge can be emitted spontaneously, gravitational radiation requires tunneling due to energy conservation. The authors argue that the black hole's radius decreases over time, allowing for the emission of radiation.
The conclusion is that Hawking radiation can be understood as a tunneling process, with the emission spectrum modified by conservation laws. The resulting formula has physically reasonable limiting cases and suggests the possibility of information-carrying correlations in the radiation. The derivation is based on local physics and does not require Euclideanization or an explicit collapse phase.This paper presents a derivation of Hawking radiation as a tunneling process, based on particles in a dynamical geometry. The imaginary part of the action for the classically forbidden process is related to the Boltzmann factor for emission at the Hawking temperature. The derivation respects conservation laws, leading to a non-thermal spectrum. The authors compare this with the problem of spontaneous emission of charged particles from a charged conductor.
The paper introduces a coordinate system that avoids singularities at the horizon, allowing for a description of across-horizon phenomena. The radial null geodesics are given by a specific equation, and the self-gravitation of particles is considered. The imaginary part of the action for an outgoing particle is calculated, leading to an expression for the emission rate. This rate is found to be exponential in the change in Bekenstein-Hawking entropy, consistent with thermal emission at the Hawking temperature.
The authors also consider the case of a charged black hole, where the emission rate is modified due to electromagnetic forces. The calculation shows that the emission rate is consistent with Hawking's result for a charged black hole, with corrections due to energy conservation.
The paper also discusses the relation to electric discharge, comparing the physics of tunneling in electric and gravitational systems. While electric charge can be emitted spontaneously, gravitational radiation requires tunneling due to energy conservation. The authors argue that the black hole's radius decreases over time, allowing for the emission of radiation.
The conclusion is that Hawking radiation can be understood as a tunneling process, with the emission spectrum modified by conservation laws. The resulting formula has physically reasonable limiting cases and suggests the possibility of information-carrying correlations in the radiation. The derivation is based on local physics and does not require Euclideanization or an explicit collapse phase.