Originally Posted by pauldovi
You don't need to cool down your processor if you turn the heat into electricity. That would violate the conservation of energy.
Lets look at it this way. Say your processor creates 100 Joules of energy per second (100 Watts). If this contraption can take 80% of that and then turn 80% of it into electricity, you are left with 64 watts of electricity and only 36 watts that you need to actually cool.
It works as a delta.... same principles that say you can't cool lower than ambient using air. so now look at it this way:
100 Watts - 36 Watts (removed by your heat sink) = 64. So now you have an excess of 64 watts and 80% of 64 is 51.2, so now you have to cool for 48.8 Watts
100 Watts, 48.8 cooled = 51.2 to be converted, so you convert 80% of that (40.96 Watts).... you see where i'm going with this? At a certain point you're cooling for 99.99999 Watts and converting 80% of .00001 Watts.
 Now if it was a constant conversion (say 50 Watts) then the idea would work, but if it's %'s, then it wouldn't