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Every time I read an article about black hole evaporation through Hawking radiation, it seems to me that the writer didn't bother to connect all the dots so it will be clear for dummies like me.

In many articles, I find 2 contradictory statements:

1. Black hole emits a radiation (i.e photons !!!) with a spectrum identical to black body radiation at a temperature which is inversely proportional to the black hole mass.

2. This radiation is created from a pair of particles that appears at the event horizon, one with negative energy that falls in and the other with positive energy that escapes. Hence the total energy (hence mass, E=mc^2) of the black hole is reduces.

I can't find the logic in here:

1. If the black hole emits particles, where do the photons of the black body radiation comes from?

2. Why is the negative energy particle always falls in? The positive energy particle should fall in sometimes with equal probability, so the whole evaporation process should cancel out.

3. What is a negative energy particle anyway?? From E=mc^2 it should have negative mass??? How is that possible??

4. If we consider the option that both particles has positive mass, than it doesn't matter which one falls in, but then the black hole acquires mass, not losing it.

Can anyone solve this for me, please?

Thanks,

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# I Evaporation of black holes

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