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Semiclassical gravity and the holographic description of the static patch ofde Sitter space appear to disagree about properties of correlation functions.Certain holographic correlation functions are necessarily real whereas theirsemiclassical counterparts have both real and imaginary parts. The resolutionof this apparent contradiction involves the fact that time-reversal is a gaugesymmetry in de Sitter space -- a point made by Harlow and Ooguri -- and theneed for an observer (or quantum reference frame) as advocated byChandrasekaran, Longo, Penington, and Witten.

A Paradox and its Resolution Illustrate Principles of de Sitter Holography