In my book Transcendental Physics (available at http://www.amazon.com/Transcendental-Physics-Edward-R-Close/dp/059509175X), I re-introduced a mathematical tool I developed in the 1980s called the Calculus of Distinctions. In the Triadic Dimensional Distinction Vortical Paradigm (TDVP) published in Reality Begins with Consciousness (available at http://www.BrainVoyage.com) I introduce an extension of that work called the Calculus of Dimensional Distinctions.
One of the strengths of this new mathematical tool when applied to quantum mechanics is that many multi-dimensional problems that are intractable in current mathematics become easily solvable. For example, two things current physical theory cannot explain are: 1.) the intrinsic 1/2 spin of elementary particles (fermions). This is easily explained in the Calculus of Distinctions as a feature of an elementary distinction of nine dimensions, and 2.) the Cabibo mixing angle of quarks can be calculated directly from TDVP theory. This mixing angle is necessary to explain the conservation of charge and parity, but cannot be derived or explained by the standard model of the current paradigm.
These examples of the explanation of experimentally known quantum phenomena that are explained by TDVP provide evidence that the Close-Neppe paradigm is correct.