Corresponding Spaces of Different Universes

What I perceive of as the greatest challenge in mathematics is the practical application of Li Algebra.  Li Algebra is the process of relating spaces that are actual, yet, are not Real Reimmanian relative to one another.  Such spaces are physically of different universes, and, must be related by taking integrating factors that corelate the Gaussian Bases of one or more of the given arbitrary orbifolds that correspond to a set of physical spaces of one universe to one or more of the given arbitrary orbifolds that correspond to a set of physical spaces of a different universe.  In this manner, spaces that are not necessarily of the same Gaussian Basis initially may be compared in both a Laplacian-based and in a Fourier-based manner in so that their codifferentiability may be codeterminable through their covariant kinematic interactions.  This is because all physical spaces -- whether or not these are of the same universe or not -- interact in one manner or another per iteration of group instanton.