I like the idea that the result of division by zero is a binary superstate of positive and negative infinity, where one can't ever determine which, due to Heisenburg's Uncertainty Principle, and if you get too close to the answer, you might time dilate yourself into having another sleepless night
Just do the discrete domain Fourier transform instead, at least that way you have the system quantization error to give you some hard numbers so you can sleep at night 😅
