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I've never really understood why inside a black hole must be a "tiny" singularity. Infinitely dense, I don't have a problem with, but if you've gone from a planet-sized white dwarf or a city-sized neutron star to something like a black hole with more mass/density, and the accompanying gravitational pull means that the event horizon is the escape velocity of light, I don't see why the centre of a black hole is not just a super dense ball of a certain size depending on how much mass it starts with (and accumulates over time).
Or does "singularity" in this case just mean that matter is packed so tightly together that it's just an homogenous mass that can't be scientifically/physically separated into any discreet/quantifiable smaller pieces, but is not necessarily microscopic in size?
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