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The major question is whether there are nontrivial simplifications possible for quantum field theory if we use the evidence for the S4 geometry of the universe to model quantum phenomena directly using eigenspinors of the Dirac operator (and associated twisted Dirac operators).  Essentially this means to understand to what extent quantum field theory can be directly implemented or simplified in the S4 geometry.  There is hope for example for problems in the unity of gravity and quantum mechanics/gauge forces overcoming the issue of the discrepancy between general relativity and quantum mechanics whose estimates for the energy of the vacuum are over 140 orders of magnitude.  If indeed the evidence for a scaled 4-sphere are correct, then quantum field theory might be understood as an approximation of a native theory on a 4-sphere (rather than the point of view of generalizing from Minkowski space to curved spaces.)  I have taken the uncompromising view before with the idea that the theory with maximal parsimony is the best theory.  This is perhaps too narrow a viewpoint because it is quite possible that multiple theories are describing the same scientific phenomena from different viewpoints.  My own sense is that the numerical success of theories like QED suggests that they are approximating very well a simple exact physics in a scaled 4-sphere of exact radius $1/h$.