what does the definition of a black hole’s singularity mean when they say zero volume, infinite density?

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formulaically, i understand the math. My question is more on the theoretical behaviour of something like a singularity.

How can something have zero volume but infinite density? How can something that don’t exist be infinitely dense?

Also, are all singularities the same and behave the same and have the same properties, regardless of the mass of the black hole?

For eg. A blackhole with 100 million solar mass vs another with 10 million solar mass. You take both mass, divide them by zero, and you get the same answer- infinite density.

Sorry for the juvenile question, maybe i shoulda posted this in nostupidquestions instead.

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Anonymous 0 Comments

This is one of those questions, the ones where even simple answers tend to be highly technical. I will try to go straight to the point that answers your question without getting technical as soon as I pray to Richard Feynmann for assistance.

So, a black hole is created when the inward pull of gravity reaches the point where nothing for which we have any evidence can stop it from continuing to fall in until it reaches a mathematical point. On Earth, rocks and iron stop you from falling all the way to a mathematical point. With stars, it is fusion energy that stops you. With neutron stars, it is neutrons repulsing each other that stops this collapse.

But nothing prevents every bit of mass that falls in from falling all the way to the point that is the center of gravity. This point is infinitely small and thus has no volume.

Density is determined by mass and volume. The greater the mass, the greater the density, and the smaller the volume, the greater the density.

If any mass exists in a volume of zero, this means that the density is infinite.

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