Studies evaporation of a black hole in a space-time with extra dimensions of finite size L, finding a potential describing both very large (approx. 4D) and very small (approx. higher-D) hole regimes, with a first-order-transition-like behavior (possible energy outburst) as the horizon shrinks below L. arXiv:hep-th/0004004. Directly bears on whether evaporation proceeds smoothly to completion or could stall/transition near the extra-dimension scale, feeding the remnant-scenario question. relevance_note: primary calculation exploring whether/how evaporation could deviate from smooth completion near the extra-dimension/Planck scale — i.e. a technical route into the remnant soft spot.