Hawking Radiation: Is it Emitted Due to Quantum Effects?

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latentcorpse
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Is it true to say that Hawking radiation isn't actually the temperature of the black hole but rather, the temperature of the thermal radiation it emits due to quantum effects?

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Yes, it is the temperature of the thermal radiation it emits due to quantum effects. But, since the black hole cannot be taken to exist without these effects, it is also correct to say that the Hawking temperature is indeed the temperature of the black hole itself.