Black holes as physical objects? Sure, you can't positively prove statements, only falsify them. Mathematical models of physical objects? You can certainly fin

Black holes as physical objects? Sure, you can't positively prove statements, only falsify them. Mathematical models of physical objects? You can certainly find provable positive statements about those. The headline is talking about black holes under a specific model, not the 'uninterpreted, true form' of the black holes.