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We extend to 5D an approach of a 4D non-perturbative formalism to studyscalar metric fluctuations of a 5D Riemann-flat de Sitter background metric. Incontrast with the results obtained in 4D, the spectrum of cosmological scalarmetric fluctuations during inflation can be scale invariant and the backgroundinflaton field can take sub-Planckian values.

Scale invariant scalar metric fluctuations during inflation: non-perturbative formalism from a 5D vacuum