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What do you mean by 'above infinity'?

In a nutshell, if you put a negative temperature object A in contact with any object B with a positive temperature, energy will flow from A -> B, regardless of how high B's temperature is. This is the opposite of everyday positive temperatures, where energy will flow from the high-temperature object to the low-temperature one. So in a sense you could say that the temperature of A is "above infinity".

Negative temperatures are effectively hotter than any positive temperature, as I understand it.

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