Set on a planet circling one of the Alpha Centauri stars.
Just which star is problematic, because our author, Bill Doede, describes it as a planet circling ‘Alpha Centaurus II.’ I’m sure he means Centauri B, but the story, which appeared in Galaxy at the end of Frederick Pohl’s first year as editor, is less concerned about nomenclature and setting than the conflict between a humanoid alien called Maota and the timeless city he lives in.