The multi-horizon angular-momentum Penrose inequality

Let the initial data contain $n$ disjoint outermost marginally outer trapped surfaces (MOTS) $\{\Sigma_i\}_{i=1}^n$, with areas $A_i$ and angular momenta $J_i$. Multi-horizon extension conjecture. The ADM mass should satisfy

$$M_{\mathrm{ADM}} \geq \sum_{i=1}^n \sqrt{\frac{A_i}{16\pi} + \frac{4\pi J_i^2}{A_i}}.$$

This proposes additivity of the individual angular-momentum mass contributions for multiple outermost horizons; the source gives no resolution status.