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eh, a lot of it is hypothetical and there are a lot of unknowns. The infinite density theory one is supposed to be at the very center of a black hole where an infinitely small dot contains all the matter of a black hole. A black hole always has a specific quantity of matter composing it, it is the infinitely small dot portion that makes density hypothetically infinite.
So there is the question of, are you treating the event horizon as the volume of the black hole? calculating an inner portion to have said volume based on some other theory?
Valette-Serafina it's a matter of some debate whether the singularity ever actually forms, or whether the core is frozen in a late stage of collapse. Indeed, the question is kind of meaningless because by definition anything happening inside an event horizon can never affect anybody outside it.
As such, "volume inside the event horizon" is a pretty good choice for "volume of a black hole".
The problem with "the edge of Earth's atmosphere" is that it doesn't really have one, and the closest thing there is to an edge (the thermopause or exobase) is not a very useful boundary since it's highly variable and the ISS is well inside it.
Comments on Profile Post by magic9mushroom