Limits on the Statistical Description of Charged de Sitter Black Holes
This paper resolves thermodynamic ambiguities in four-dimensional charged de Sitter black holes by adopting a Bousso-Hawking normalization relative to a freely-falling observer, revealing that while the near-extremal Nariai limit avoids a breakdown of the semi-classical description due to finite heat capacity, fundamental statistical limitations persist in the cold and ultracold regimes where the heat capacity vanishes.