Einstein
Temporal Engineer
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When excess heat leads to more heat being released, you have less excess heat but it's still an excess because only a percentage above equilibrium is removed.
(temp = eq + ex * decay ^ time, 0 < decay < 1) -> (temp > eq)
If you put a passive water cooler on a CPU and start the computer, adding temperature is going to make it hotter on average.
The earth's atmosphere is not passive. It is a dynamic system continuously in motion. No heat is added to the earth or the atmosphere during sunspot activity. The CO2 molecule absorbs infrared energy and takes it out of the atmosphere. The behavior is identical to the way refrigeration equipment works. Your example might apply to a forest fire. But we all know that even all that heat eventually dissipates. The earth or the atmosphere do not hold onto heat. It is constantly being released upward out into space.