So the idea is the three dimensional space of our universe is actually the surface of a hypersphere (a four dimensional sphere). The "folding of space" is actually causing a deformation in the hypersphere's surface such that two regions of the hypersphere actually intersect. Care would have to be taken that one of the regions was a pure vacuum or matter would be superimposed at the quark level (something more powerful than nuclear fusion might occur). Now we play with the idea: How is the rocket ship from one region of the hypersphere transferred to the other? Are the two surfaces of the hypersphere somehow chopped out and interchanged or is the geometry of one surface somehow imposed upon the other (duplication)? If it is duplicated, then did travel actually occur. Now make it more interesting: Duplicate the geometery from one surface to the other but in the process destroy the original geometry. Has travel occurred or has the traveller simply committed suicide while cloning himself. What is identity? Does our identity come from our physical being or is it merely information? All of these ideas had multiple science fiction novels written around them in the 1970s and 1980s, i.e. "Farthest Star" series by Poul and Williamson. The concept is probably nonsense because the Laws of Physics would not admit that degree of deformation, e.g. the hypersphere probably varies from a constant radius by only a few Planck lengths.

Now where you might advance this idea is by admitting travel from one hypersphere to another. The distance separating us from another hypersphere (universe) might be on the order of a Planck length (smaller than the diameter of a quark). Of course this other universe might merely by our own universe in the future or the past......

Gary