I'm a descriptivist, yeah, but scientific terms are specifically invented by individuals to mean something, so it's sort of important that they have a well-defined, non-colloquial meaning. The colloquial meaning of temperature is a strict subset of the meaning that allows for negative temperature, and the definition of temperature you'll see in articles about negative temperature is the same one used for positive temperature. The lie is on the same level as "you can't subtract 5 from 4".
And I'm not sorry that it's fucking weird that a thing with no mass can have momentum.
I am, because it means you weren't taught well somewhere along the line.
Most discussions of "negative temperature" I'm finding begin by pointing out that it relies on a controversial or different definition of temperature. If I say that temperature is a measure of the activity of atoms, I'm not wrong. This negative temperature idea uses a different, potentially interesting, model. I wish it'd use a new term, but it doesn't make me wrong.
The colloquial is "ow I burned my hand" or "jeeze it's chilly" which is why I pointed it out. "Kinetic energy in atoms" isn't colloquial, it's very scientific.
As for mass:
In physics, mass is a property of a physical body. It is the measure of an object's resistance to acceleration (a change in its state of motion) when a force is applied. It also determines the strength of its mutual gravitational attraction to other bodies.
So if I'm so wrong, go edit Wikipedia instead of giving me a hard time. Except you can't, because that's the tried and true definition of the word and the one everyone understands! Even physicists with deeper understanding of what's actually going on understand that "mass" is resistance to acceleration, at least outside their specific field of study. If they want to define "mass" as something else, good for them, I hope it advances science. Doesn't change the definition of the word.
Photons are *weird*, okay?? They don't obey the same rules as matter. That doesn't mean I wasn't taught well in high school, thank you.