It seems to me that the notion of a singularity at the center of a Black Hole indicates a problems with the pertinent physics. It implies infinite density. Singularities & infinities strongly suggest a problem with almost any theory, although perhaps a universe infinite in extent might be an exception. BTW: I do not know if current theory indicates the universe being to the universe being finite or infinite in size.
GR is a classical theory and does not pertain at the quantum realm. Every theory has its base of applicability, outside of which it does not apply: Even a future validated QGT will probably have such limitations and reveal possible new levels of reality. Also a singularity in itself may not be infinite, but it does/can lead to infinite quantities such as density and spacetime curvature.
From Paddoboy Post #2 The above in response to my Post Paddoboy: I suspect that we are actually in agreement. It is GR which predicts the singularity & GR which I am suggesting needs adjustment to avoid the singularity. I think Quantum Theory predicts a size related to the wavelength of the mass at the center of the Black Hole.
Woah, hold on a minute there. Quantum theory is a special case of classical theory: some aspects of classical theory are expected to hold at the quantum level. As my friend Matti Pitkanen (creator of topological geometrodynamics) would say, ''don't fully quantize!''
