Nothing could travel so fast that you see it after it hits you, according to current theories, as nothing can travel as fast as light: even if it was getting say 0.5 ly closer every year, and emitting one unit luminance per year, we would still see all of the photons from the new place as well as the old one... but yeh, the dopler shift for light gives us redshift and blueshift: combining this with our knowledge of the type of atoms out there, looking for instance for the H-alpha emmision line which without a shift has a waveleanth of 656.28 nm wherever the hydrogen is. By comparing this emis