Towards a Semiclassical Seismology of Black Holes

TL;DR

This paper explores the semiclassical properties of black holes, analyzing fluctuations in their electromagnetic charge and metric, providing new insights into their dynamic behavior over cosmological timescales.

Contribution

It introduces a semiclassical framework for understanding black hole spacetimes as non-static, with novel calculations of charge fluctuations and metric variance.

Findings

Computed the power spectrum of charge deviations.

Established a lower bound on metric variance.

Demonstrated black hole spacetimes are inherently non-static semiclassically.

Abstract

Black hole spacetimes are semiclassically not static. For black holes whose lifetime is larger than the age of the universe we compute, in leading order, the power spectrum of deviations of the electromagnetic charge from it's average value, zero. Semiclassically the metric itself has a statistical interpretation and we compute a lowerbound on its variance. (1 figure, at end in encapsulated postscript - to locate use 'find figs')