Self-Reflection in a Moving Mirror

TL;DR

This paper introduces an analytic model of an accelerating boundary in flat spacetime that mimics Hawking radiation, exhibiting unique properties like infinite acceleration but finite energy emission.

Contribution

It provides a unified, closed-form analysis of horizon formation, particle spectrum, and energy flux in a novel accelerating boundary model with black hole analog features.

Findings

Derives particle and energy spectra showing black hole-like properties.

Reveals a model with infinite asymptotic acceleration but finite total radiated energy.

Distinguishes between local energy flux and global particle production.

Abstract

We present an analytic flat-spacetime accelerating boundary analog of Hawking-type emission that possesses infinite asymptotic acceleration (and radial acceleration in the black hole analog) but finite total radiated energy (and zero surface gravity in the black hole analog). We perform a unified study of its scattering symmetry, horizon formation, asymptotically extreme acceleration, finite total radiated energy, and the distinction between local energy flux and global particle production within a single closed-form model. The particle spectrum, energy spectrum, and equivalent spacetime metric are derived, revealing an interesting mix of normal and extremal black hole properties.