Thermal radiation from accelerating electrons to investigate black hole evaporation and moving mirror particle creation

Faculty Development Competitive Research Grant Program (General) 2024-2026

The approach we aim to develop will be to find exact electron-mirror correspondence (EMC) radiation solutions to specific integrable classical trajectories [Ievlev2023abc]. Some of these solutions emit finite radiation energy and allow precise calculation of the relevant integrable spectra for specified accelerations. We will explicitly demonstrate the consistency of this approach, exploiting the analog duality similar to how moving mirrors are employed to study black hole radiation. We will leverage the fact that the moving mirror (and its electron dual) is a wonderfully rich toy model for calculating analytic results like the particle spectrum and energy flux that can be used to understand the less accessible astrophysical regimes of black holes thermodynamics and the expanding universe.