Cosmological entropy problem in the (1+3+6)-dimensional space-times with viscous processes

Recently the formation of an expanding universe from the (1+3+6)-dimensional space-times has been proposed on the basis of super-string theory. The serious entropy problem must be solved for it to be realistic from the cosmological viewpoint. It is discussed here, taking account of the large dissipation due to the viscous motion between the collapsing inner space and the inflating outer space. It is shown that the large dissipation may be effective for the vast production of 3-dimensional entropy S_3 within the horizon, and that there are epochs when S_3 reaches the critical value 10^88 in the Guth level and at the same time the outer space is decoupled from the inner space.