Black Hole Evaporation Without Global Time: A Representability-Based Account

Black Hole Evaporation Without Global Time: A Representability-Based Account This paper examines black hole evaporation under the constraint of finite representability rather than under assumptions of global temporal accumulation. It shows that many familiar tensions surrounding black hole lifetimes, horizons, and information arise from extending global time sequencing beyond the domain where representational ordering remains admissible. Adopting a representability-based posture, the analysis treats horizons as representational boundaries and evaporation as a local redistribution of representational obligation rather than as a globally timed evolution. The account does not modify standard local evaporation calculations, introduce new physical mechanisms, or alter semiclassical results. Instead, it clarifies the conditions under which evaporation may be coherently described without invoking infinite external time, global bookkeeping, or paradoxical temporal narratives. The paper reframes black hole evaporation as a completion process governed by representability limits rather than by extended temporal duration. Apparent paradoxes are shown to arise from category error—treating post-horizon regimes as if global sequencing remained required—rather than from inconsistency in local physics.