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1

If we accept that black holes do not indeed destroy information and that they follow the second law of thermodynamics (this is how the entropy-is-proportional-to-area formula was derived, after all) then we can forget about their being black holes and simply think of them as some object radiating black-body radiation. From this standpoint, the entropy of the ...

1

It isn't true that the entropy of the black hole must always increase. Prior to the discovery of Hawking radiation there was a second law of black hole thermodynamics: $$\frac{dA}{dt} \ge 0$$ and because the entropy is proportional to the area this means the entropy must always increase. However since the discovery of Hawking radiation this has been ...

0

Your point #1 has to do with the fact that some physicists believe that if information did not RETURN, it would violate the Unitary principle. The philosophy of Quantum Mechanics demands that Unitary is immutable. Therefore some people had come up with theories to show that information is not really lost in the blackhole. I have not read the book you ...

1

The first one is regularized the second one isn't.

3

This is really an extension to kleingordon's answer. The net rate of evaporation of a black hole is the rate of energy loss through Hawking radiation minus the rate energy/mass is accreted from the universe outside the black hole. At the moment the temperature of a supermassive black hole is far lower than the cosmic microwave background, so even a ...

4

The supermassive black holes at the centers of galaxies have evaporation times much, much larger than the age of the universe. They're not going anywhere. But, even if they hypothetically vanished, mature galaxies would barely be affected. It's not quite accurate to say that these holes are the "source of energy" for the galaxy. The stars in the galaxy ...

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