Singularities aren’t physical, they’re artifacts of incomplete theories. We don’t know of any force that would maintain a structure in that extreme gravity, but “don’t know” doesn’t imply that infinities actually occur in nature. In practice, no-one has ever observed an actual infinity, and I can’t imagine how one could even observe or measure such. There’s no reason from experience or theory to think that infinities actually occur, and we know already that singularities in a theory are discontinuities where the theory fails to accurately describe nature.
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