The universal black-hole inequality with angular momentum and charges

Consider an asymptotically flat black-hole spacetime with ADM mass $M$, horizon area $A$, angular momentum $J$, electric charge $Q$, and magnetic charge $P$. Define the irreducible mass by

$$M_{irr}=\sqrt{\frac{A}{16\pi}}.$$

Universal black-hole inequality conjecture. The mass should satisfy

$$M^2\geq M_{irr}^2+\frac{J^2}{4M_{irr}^2}+\frac{Q^2+P^2}{4},$$

or equivalently

$$M_{\mathrm{ADM}}\geq\sqrt{\frac{A}{16\pi}+\frac{4\pi J^2}{A}+\frac{Q^2+P^2}{4}}.$$

The source calls this the cosmic-censorship master inequality: violation would imply a naked singularity. It gives no definitive resolution status.