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We construct a generalization of Witten's Kaluza-Klein instanton, where ahigher-dimensional sphere (rather than a circle as in Witten's instanton)collapses to zero size and the geometry terminates at a bubble of nothing, in alow energy effective theory of M theory. We use the solution to exhibitinstability of non-supersymmetric AdS_5 vacua in M Theory compactified onpositive Kaehler-Einstein spaces, providing a further evidence for the recentconjecture that any non-supersymmetric anti-de Sitter vacuum supported byfluxes must be unstable.

New Kaluza-Klein Instantons and Decay of AdS Vacua