Can someone help me fix the Wikipedia page on the black hole information paradox (https://en.wikipedia.org/wiki/Black_hole_information_paradox)? It says

> the black hole radiates mass at a rate given by dM/dt = -aT⁴ where a is constant related to fundamental constants, including the Stefan–Boltzmann constant and certain properties of the black hole spacetime called its greybody factors.

The next paragraph says that M is inversely proportional to T and that the black hole evaporates in time proportional to M³. But this isn't consistent because solving dM/dt = -a/M⁴ gives an evaporation time proportional to M⁵.

I think it's the first formula that's wrong and it should be dM/dt = -aT². But I don't know quite enough to feel confident making an edit. Is there someone out there who knows what the fix should be?

#Physics #BlackHole #BlackHoles

Black hole information paradox - Wikipedia

@OscarCunningham I am even more not-an-expert than you are, but FWIW the Wikipedia page on Hawking radiation says that the luminosity of Hawking radiation for a black hole of mass 𝑀 is 𝑎𝑀⁻² and says explicitly what 𝑎 is, as well as giving the explicit reciprocal relation between 𝑀 and 𝑇. One could transfer the formulae from that page to the BHIP page with a reasonably clear conscience, I think.