A Note on Vacuum Polarisation and Hawking Radiation

TL;DR

This paper explores the relationship between vacuum polarisation and Hawking radiation, showing that Hawking radiation can be understood as a decay of vacuum caused by scalar field interactions with gravity, similar to vacuum polarisation in electrodynamics.

Contribution

It provides a novel perspective by deriving Hawking radiation as vacuum decay, linking it directly to vacuum polarisation effects in a quasi-local volume including the horizon.

Findings

Hawking radiation rate is derived as vacuum decay.

Vacuum polarisation and Hawking radiation are connected through scalar field interactions.

The approach parallels electrodynamics vacuum polarisation effects.

Abstract

We re-examine vacuum polarisation of a scalar field in a quasi-local volume including the horizon. We find that Hawking radiation rate is derived as a pure decay of vacuum due to scalar field interaction with classical gravity exactly in the same way as the origin of vacuum polarisation effect in Electrodynamics.