The similarity I noticed was the fact that in the Fourier transform, when the time domain graph is focused in a small time range, its frequency domain graph is

The similarity I noticed was the fact that in the Fourier transform, when the time domain graph is focused in a small time range, its frequency domain graph is spread out in a wide frequency range, and vice versa, like the position and the momentum in the uncertainty principle. That makes sense if the wave function of position is the Fourier transform of the wave function of momentum.