What is the name for the "stuff" at heart of black hole?

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Cindy Hops
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What is the name for the "stuff" (neither matter nor neutrons) at the heart of a black hole?
 
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The reason that the heart of a black hole is called a "singularity" is because the word singularity is just shorthand for "the place where the math model breaks down and we don't know WHAT is/was going on". In other words, it is unknown just what is at the heart of a black hole since the math gives unphysical results. The hope/belief is that if/when we get a solid theory of quantum gravity we might get an answer to that question.
 
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Wonderful answer! This explains why I could not find it anywhere else. Thanks!