Why should there be a what into which to expand? You will probably get a kick out of some new lab experiments involving measuring the 5th dimension, now being designed and performed at Princeton [and many other research centers are scrambling their own projects.] Accepting the 5th dimension shouldn't be difficult for those who have accepted dimensions 1, 2, and 3, not to mention accepting time as the 4th dimension.
I've been a big believer of the Fifth Dimension since the late sixties!