I saw something about that one recently, maybe it was on Spacetime. At first it bothered me, but then I sort of made my peace with it since like you said, it's physically impossible to see it coming and we'd all die instantly. It's almost like the civilisation equivalent of going in your sleep. I could drop dead from an aneurysm 5 minutes from now. No point worrying about it though. There's sort of a morbid comfort in that.
