Indeed. On reading through, in a bandwidth characteristic of existing gravitational wave detectors they predict distance fluctuations of order one Planck lengt

Indeed. On reading through, in a bandwidth characteristic of existing gravitational wave detectors they predict distance fluctuations of order one Planck length, so yet unobservable. However, the fourier transform of the autocorrelation function, which gives a frequency spectrum, suggests a potentially detectable signature, perhaps in some important edge cases.