The distance from singularity to horizon should be equal to the horizon's radius(bhtw30)
That is one essence of the singularity: It is a region where chaotically oscillating spacetime curvature creates enormous, chaotic tidal forces(bhtw36)
0ne can conceive of a variety of different kinds of spacetime singularities, each with its own peculiar form of tidal stretch and squeeze(bhtw451)
The singularity stretches all objects radially (in the direction toward and away from itself), and squeezes all objects transversely(bhtw451)
Every black hole must have a singularity inside itself(bhtw463)
This random, probabilistic froth is the thing of which the singularity is made, and the froth is governed by the laws of quantum gravity. In the froth, space does not have any definite shape (that is, any definite curvature, or even any definite topology). Instead, space has various probabilities for this, that, or another curvature and topology(bhtw477)