Admissibility Constraints on Persistent Black Hole Descriptions Under Irreversibili

Black holes are routinely treated as long-lived thermodynamic systems whose evolution is governed by irreversible entropy production. At the same time, many discussions of black hole interiors implicitly rely on descriptions that assume persistent identity-bearing structure over extended durations. This work makes explicit a minimal admissibility condition already implicit in thermodynamic reasoning: any macroscopic description that presumes persistence over a duration must remain consistent with the cumulative irreversible entropy production implied by the underlying physical processes. No new dynamics are introduced and no equations of motion are modified. Instead, an auxiliary accounting criterion is applied to standard black hole thermodynamics. Using semiclassical evaporation as a concrete setting, the analysis argues that certain persistent interior descriptions become ill-posed in the limit of extended duration when irreversibility is made explicit. This does not resolve the black hole information problem, nor does it privilege any microscopic proposal. Rather, it suggests a reframing of aspects of the debate as a tension between persistence assumptions and thermodynamic admissibility, rather than as a direct conflict between established physical laws. The paper is intended as a conservative conceptual clarification within semiclassical gravity and black hole thermodynamics.