1/f Noise: The Mystery That May Be Its Own Fourier Transform

An Interesting Fourier Transform – 1/F Noise

Power laws have a remarkable property: their Fourier transforms are also power laws. This leads to a fascinating symmetry—when the time-domain decay rate is t^-0.5, the frequency-domain magnitude is ω^-0.5. This is exactly the amplitude spectrum of 1/f noise, a ubiquitous yet unexplained phenomenon. The author suggests that 1/f noise might be its own Fourier transform, a clue that could finally crack an 80-year-old physics mystery.