As the large hadron collider comes on line and experiments progress, it may be that particles indicating the extra dimensional realities will be detected, showing with experimental data that there are dimensional characteristics beyond 4D spacetime which are the reasons dark matter and dark energy remain outside our common detection. The detection of KK particles (Kaluza Klein), either directly or as evidenced in energy escaping (disappearing) the post impact tracks, will pretty much confirm that the greater dimensional concept of the universe is on the right track. The math is not so arcane, the concept of emergent phenomena is not an imagination. As Lisa Randall points out in her recent book, there are electron micrographs of crystalline patterns for the non-stick coatings on cooking utensils which indicate dimensional effect from beyond the 4D of current conceived spacetime. There are other examples, but that one struck me as astonishing. Emergent properties defy common explanation of the underlying law governing the process (such as the particle nature of sound transitioning from particle to resonant sound wave or the super conductivity of ceramics which have no electron sea to be effected for super conductivity).
there are Rules, yanno...