I suspect that this phenomenon is caused by ice crystals in the upper atmosphere,
which separate the sunlight into its different wavelengths, or colours as in a rainbow. In both of these videos, the colours pass through the visible spectrum from red (longest wavelength) at the top to violet (shortest wavelength) at the bottom; if caused by ionizing radiation the visible effect would be more random and changing and most likely visible over a larger portion of the sky as one sees in a true aurora. It would be interesting to find the position of the sun, relative to the viewer and the phenomenon. I've seen this personally a number of times here in southwestern Ontario when the sun is low in the sky. A similar condition sometimes called a sundog is occasionally seen on very cold winter days, again, caused by high-altitude ice crystals. Any relationship to the recent earthquake is most likely coincidental, IMO.