Originally posted by: silverpig
Actually, the more sensical quantity in thermodynamics is inverse temperature 1/T.
1/T = dS/dE
Inverse temperature is the rate of change of entropy with respect to energy. So, when you add energy to a thermodynamic system, how much does the entropy change? Of course you can just look at dE/dS, but then you are asking how fast does the energy of a system change as you increase its entropy. It's a little harder to think about that way.
It also makes more sense to use 1/T to describe temperature as absolute zero temperature would be infinite inverse temperature, which make more sense why we can't reach it.
What's also interesting is it is possible to have something at a temperature below absolute zero in certain contrived cases. What happens is the system then cools to negative infinity, flips over to infinity, and comes down from very hot to room temperature. This is possible as you just can't have something AT absolute zero, but you can have systems below absolute zero