[api]

If matter falling into a singularity never reaches it because time slows down infinitely as you approach, wouldn’t this be a physical representation of a mathematical limit from calculus? The actual literal 1d singularity never forms but it is approached infinitely close.

[cyberax]

Matter falling into a singularity reaches it in a fairly short time, according to the falling observer's clock.

It's just that the _light_ that this observer emits takes infinitely long to reach observers outside of the singularity.