Quantum power. A Lorentz invariant approach to Hawking radiation

Particle radiation from black holes has an observed emission power depending on the surface gravity $\kappa$ = c${}^4$/(4GM) as P${}_{blackhole}$$\sim$$\frac{\hslash {\kappa }^2}{6\pi c^2}$ = $\frac{\hslash c^6}{96\pi G^2{M}^2}$, while both the radiation from accelerating particles and moving mirrors (accelerating boundaries) obey similar relativistic Larmor powers, P${}_{electron}$ = $\frac{q^2{\alpha }^2}{6\pi {ϵ}_0{c}^3}$, P${}_{mirror}$ = $\frac{\hslash {\alpha }^2}{6\pi c^2}$, where $\alpha$ is the Lorentz invariant proper acceleration. This equivalence between the Lorentz invariant powers suggests a close relation that could be used to understand black hole radiation. We show that an accelerating mirror with a prolonged metastable acceleration plateau can provide a unitary, thermal, energy-conserved analog model for black hole decay.