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QED is hailed as one of the most accurate physics theories.  But it is mathematically extremely ill-defined.  Accuracy of predictions has kept it sacrosanct.  The reason to reconsider QED in the sense that perhaps a simpler and mathematically more coherent and well-founded theory might be as accurate.  In particular, the evidence that the universe is a scaled 4-sphere gives a new view of the problems of quantum theory and of quantum phenomena.  Although at the moment a bit messy, I believe it can be shown that the Dirac spectrum for hydrogen in an $S^4(1/h)$ universe can match experimental results (although not the Lamb shift yet).  This is of course not from a quantum field theory like QED but it would represent a milestone in producing a new physics that can address some more serious problems in the interface of quantum physics and gravity (such as the famous energy of vacuum discrepancy).  A compact universe (space-only) may have some positive interpretation even within the context of quantum field theories.  More usefully, match to experimental hydrogen spectrum for the simple Dirac operator allows us to seek simpler alternatives to quantum field theory which might be able to retain the excellent match to observations.