Here's why it's tricky to define a "size" for this point:
* Singularities are theoretical: We don't have a complete understanding of what happens at the singularity. Current physics breaks down at this point.
* No physical dimension: A singularity is not a physical object in the way we understand objects. It's a point of infinite density and zero volume. It doesn't have a measurable width, length, or height.
* Event Horizon: What we *can* measure is the event horizon, the boundary around the singularity where gravity is so strong that even light can't escape. This is often referred to as the "size" of the black hole, though it's actually the boundary of its influence, not the size of the singularity itself.
Think of it like this: Imagine squeezing a balloon until it becomes infinitely small. The point you've squeezed to that tiny size is the singularity. The balloon's outer surface would be like the event horizon.
So, the singularity itself has no size, but we can measure the size of the event horizon, which tells us how much matter has fallen into the black hole and how strong its gravitational pull is.
