Black Hole Thermodynamics

No.12063520 ViewReplyOriginalReport
How the HELL do these fuckers work? Presume our currently accepted understanding of black hole temperature. Now put an object A with a temperature of 2 Kelvin in an isolated box with a black hole B with a temperature of 1 Kelvin. B acts as a heat sink and A will radiate heat until it reaches B's temperature. But B absorbs heat and grows larger, which will REDUCE the amount of Hawking radiation it produces and its temperature along with it! So A will just keep getting colder and B will keep sucking in that heat and also get colder. This sounds absolutely bonkers and contradictory to normal thermodynamics to me. Doesn't this system produce infinite work? Or is this something like a geometric series that approaches a limit? Is there an equilibrium temperature?