4.5 Modulated Decay Rate 108 We now require this upper bound to be much larger than the lower bound in Eq. (4.203). This gives We now require this lower bound to be much smaller than the upper bound in Eq. (4.76). This gives For all values of n , this constraint is grossly violated. Therefore, we find that this modulated decay rate scenario cannot produce the dominant contribu- tion to the observed primordial curvature perturbation within this Thermal Inflation model as it currently stands. (2 n + 4) 1 n +1 ≫ M$_{P}$ 10 14 GeV (4.220) $^{H}$∗ ≫ M$_{P}$ 10 $^{4}$(2 n + 4) 1 n +1 (4.219)