The Forgetful Black Hole: Memory Burden and Hysteresis in Hawking Evaporation
The paper investigates when storing quantum information in a black hole can dynamically slow down its evaporation rate, proposing three necessary steps: writing, retaining, and feedback. It shows that simple entropy-suppressed memory accumulation cannot cause significant luminosity changes unless these three requirements are met. This suggests a history-dependent effect where the black hole's future depends on its past state.