We construct an instanton describing the pair production of non-Kaluza Klein
bubbles of nothing in higher odd dimensional de Sitter spaces. In addition to
showing that higher dimensional de Sitter spaces have a nonzero probability to
become topologically nontrivial, this process provides direct evidence for the
association of entropy with cosmological horizons and that non-Kaluza Klein
bubbles of nothing are a necessary ingredient in string theory or any other
consistent quantum theory of gravity in higher dimensions.Comment: 19 pages, 1 figur