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We consider a class of generalized FRW type metrics in the context
of higher dimensional Einstein gravity in which the extra
dimensions are allowed to have different scale factors. It is
shown that noncommutativity between the momenta conjugate to the
internal space scale factors controls the power-law behavior of
the scale factors in the extra dimensions, taming it to an
oscillatory behavior. Hence noncommutativity among the internal
momenta of the mini-super-\emph{phase}-space can be used to
explain stabilization of the compactification volume of the
internal space in a higher dimensional gravity theory.
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