[tejon]

Not a physicist but I thought the Planck length specifically denies infinitesimality? And one of the proposed solutions to the black hole information problem is that due to local relativistic effects, they never actually reach singularity in finite time.

[psyc]

The Planck length isn't a minimum length or size, and doesn't have a whole lot of real significance other than as it results from a particular choice of units.