# Classical-Quantum Correspondence and Hawking Radiation

## TL;DR

This paper demonstrates how a classical-quantum correspondence (CQC) can be used to model Hawking radiation and the backreaction effects during gravitational collapse, bridging quantum phenomena with classical simulations.

## Contribution

It introduces a novel application of CQC to simulate Hawking radiation and collapse dynamics, providing a new computational approach to quantum gravitational problems.

## Key findings

- CQC can produce Hawking radiation in classical simulations.
- The method captures the slow down of collapse due to radiation backreaction.
- Classical-quantum mapping simplifies complex quantum gravitational calculations.

## Abstract

A recently discovered classical-quantum correspondence (CQC) maps certain quantum problems to corresponding classical problems. We illustrate the CQC for a quantum scalar field in the gravitational background of a collapsing spherical shell. By truncating the problem to a small set of variables, we show how the CQC can yield Hawking radiation as well as the slow down of the collapse due to radiation backreaction.