Kommemi's sub-extremality conjecture

Let $\mathcal{Q}^+$ be the quotient spacetime, $\mathcal{I}^+$ future null infinity, and interpret “sub-extremal in the limit” as the limiting black-hole condition stated in the paper. Sub-extremality conjecture. Among all admissible data, there exists a generic subclass such that, if $\mathcal{Q}^+\cap J^-(\mathcal{I}^+)\neq\emptyset$, then the black hole is sub-extremal in the limit. This is one of the assumptions expected for generic charged black holes and is not resolved in the supplied text.