The energy of light is proportional to its frequency. This means that when light from the CMB hits Miller’s planet, and its frequency is increased by this time dilation, its energy increases. With a time-dilation factor of around 60,000, Miller’s planet would be heated to nearly 900 ?C.
In the film, the planet is swept by huge tidal waves of water, but Opatrný says his calculations mean molten aluminium would be more likely. Conditions would be cooler if the planet were slightly further out from the black hole, lessening the effects of time dilation and making it more hospitable to life. “It’s interesting that [the analysis] suggests the microwave background would be disastrous for observers on the planet, making the movie once again less realistic,” says Lawrence Krauss of Arizona State University.
From: Black hole sun could support bizarre life on orbiting planets | New Scientist
