Hawking temperature from quasi-normal modes

TL;DR

This paper links the measurement of black hole quasi-normal modes to the Hawking temperature, showing that high damping measurements inherently encode thermal properties of black holes.

Contribution

It introduces a quantum measurement perspective to quasi-normal modes, deriving the Hawking temperature from measurement-induced noise in black hole oscillations.

Findings

Measurement of high damping quasi-normal modes reveals Hawking temperature.

Quantum measurement noise corresponds to black hole thermal radiation.

Analysis extends to other black hole types briefly.

Abstract

A perturbed black hole has characteristic frequencies (quasi-normal modes). Here I apply a quantum measurement analysis of the quasi-normal mode frequency in the limit of high damping. It turns out that a measurement of this mode necessarily adds noise to it. For a Schwarzschild black hole, this corresponds exactly to the Hawking temperature. The situation for other black holes is briefly discussed.