Off the wall #Physics question: the coldest place in the history of the universe is arguably on Earth, now. We've spent a lot of energy doing this. If the fate of the universe is a Heat Death, have we accelerated it a tiny bit by making stuff colder?
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I would rather suspect that such acceleration would come from the amount of entropy that was emitted when doing so (or rather, due to the net entropy increase). If the cooling mechanism was as efficient as possible, that amount would have been zero.
We could have emitted the same amount of entropy by generating the same amount of heat (well, slightly less) from zero entropy energy.
