Why must black hole have entropy?

polynnxu

polynnxu

Answered question

2022-08-11

Why must black hole have entropy?

Answer & Explanation

Royce Golden

Royce Golden

Beginner2022-08-12Added 12 answers

The second law of thermodynamics actually requires black holes to have entropy, otherwise you could reduce S by throwing mass into one.
Hawking radiation may shrink a black hole, but the radiation has entropy of its own, so S still isn't reduced. Indeed, if you throw something into a black hole, then wait for Hawking radiation emission to reduce the black hole's mass to its original value, the law predicts the outgoing radiation will have at least as much entropy as the object you destroyed.
So what the law really tells us is blackbody radiation has an especially high entropy for a given mass-energy.

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