You’ll need to supply some context, because in conventional physics with real numbers what you are asking is about two impossible states.
Negative temperature would require something less than absolute zero, which is where all thermal energy, which could be described as the average of movement values, stops. Since a negative vector still has a value, this is like asking for the square root of a negative number: it requires something outside of ‘real’ numbers.
Infinite is impossible to reach with real numbers by definition; every real number can be added to, while infinite can’t.
If you are asking about a specific theoretical physics statement, post a link so others can take a look at it.
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