  An accelerated boundary correspondence (ABC) is solved for the de Sitter
moving mirror cosmology. The beta Bogoliubov coefficients reveal the particle
spectrum is a Planck distribution with temperature inversely proportional to
horizon radius. The quantum stress-tensor indicates a constant emission of
energy flux consistent with eternal equilibrium, while the total energy carried
by the particles remains finite. The curved spacetime transformation to flat
spacetime with an accelerated boundary is illustrated, and also shown for
Anti-de Sitter (AdS) spacetime.
