Well in this case you absolutely can, the results just seem counter to our intuition about temperature. Negative temperature is a meaningful description of these types of systems.
Thw very same comment specifically states that physics itself is not broken.
OC: Is it broken?
Me: No, they make generous interpretations to claim that it's broken.
You: With a generous interpretation, they can be said to break ...
Like I said, we're not having the same conversation.