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The radial mode of n extra compact dimensions (the radion, b) can cause inflation in theories where the fundamental gravity scale, M, is smaller than the Planck scale M_P. For radion potentials V(b) with a simple polynomial form, to get the observed density perturbations, the energy scale of V(b) must greatly exceed M 1 TeV: V(b)^1/4 = M_v 10^-4 M_P. This gives a large radion mass and reheat temperature 10^9 GeV, thus avoiding the moduli problem. Such a value of M_v can be consistent with thedoi:10.1103/physrevd.61.023513 fatcat:kwhknrebcnacfaztsksvdi2eou