Kinda funny. Just before seeing this article I had just finished watching a wonderful video on the "Ultraviolet Catastrophe" (https://www.youtube.com/watch?v=r

Kinda funny. Just before seeing this article I had just finished watching a wonderful video on the "Ultraviolet Catastrophe" (https://www.youtube.com/watch?v=rCfPQLVzus4 https://www.youtube.com/watch?v=rCfPQLVzus4) which isn't exactly the same as what's being talked about here... but in the same class of problem if you make that class big enough :-). When looking at these sorts of things, surely such "hockey sticks" are often times just not considering the limiting factors? I'm no mathematician (by any approximation) but it seems like more often than not finding such a result should point to some incompleteness or some closer look being required to get the full picture. (P.S. that video was very math heavy and no, I didn't understand most of the math beyond hand-wavy terms... still glad they went into the detail.)