>>14330335this. gravitational singularities are a problem of the general theory of relativity, basically the field equations breaking down with extreme cases (aka black holes) because they cannot account for quantum effects, the general theory of relativity is a geometrical approach to how gravity works, it describes gravity as the physical effect of mass/energy warping spacetime, think of it like a bowling ball (mass) on a bedsheet (spacetime), gravity in this analogy would be perceived as a marble (another mass) placed on the curvature rolling towards the bowling ball, in the einstein field equations that describe general relativity a mathematical singularity arises when the radius of the mass curving spacetime goes to zero, as is the case with a collapsing star which underwent a type 2 supernova and which continues to collapse infinitely without quantum effects being taken into account.
the centre of a black hole is a physical object, but it cannot be properly described as of yet since we still don't have a quantum gravity theory