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An accelerated boundary correspondence (ABC) is solved for the de Sittermoving mirror cosmology. The beta Bogoliubov coefficients reveal the particlespectrum is a Planck distribution with temperature inversely proportional tohorizon radius. The quantum stress-tensor indicates a constant emission ofenergy flux consistent with eternal equilibrium, while the total energy carriedby the particles remains finite. The curved spacetime transformation to flatspacetime with an accelerated boundary is illustrated, and also shown forAnti-de Sitter (AdS) spacetime.

The mirror at the edge of the universe: Reflections on an accelerated boundary correspondence with de Sitter cosmology