  Many theories beyond the Standard Model include extra dimensions, though
these have yet to be directly observed. In this work we consider the
possibility of a compactification mechanism which both allows extra dimensions
and is compatible with current observations. This compactification is predicted
to leave a signature on the CMB by altering the amplitude of the low l
multipoles, dependent on the amount of inflation. Recently discovered CMB
anomalies at low multipoles may be evidence for this. In our model we assume
the spacetime is the product of a four-dimensional spacetime and flat extra
dimensions. Before the compactification, both the four-dimensional space- time
and the extra dimensions can either be expanding or contracting independently.
Taking into account physical constraints, we explore the observational
consequences and the plausibility of these different models.
