We live in a universe that is macroscopically four dimensional, for which the evidence is much clearer than the claimed discovery of the Higgs boson. Since the 1980s crystals have been observed with rotational symmetries of orders 5, 8, 10, 12 which cannot occur for three dimensional spaces. The existence of a fourth macroscopic spatial dimensions is a fundamental feature of the universe which the current Standard Model is not equipped to handle. In fact it is not difficult to see from clear evidence that the universe is not only four dimensional but it is compact, and indeed spherical.

So in a four dimensional spherical universe the natural physics would be a classical physics. I have been working toward a ‘Standard Model’ type theory as a U(1) x SU(2) x SU(3) gauge theory on the 4-sphere as a temporary measure towards a correct physics. It is unclear to me whether the explanation of the accepted particle theory where objects that exist for time lengths in the order 10^{-8} seconds should have sense in fixed masses. In any case, the issue of what constitutes mass in a four-sphere universe is honestly an open question. One expects the Einsteinian answer — that mass is equivalent to the extrinsic geometry of a three dimensional universe in a four-dimensional spherical ambient space — to have sense extending from subatomic to cosmic scales. Quantum observations can arise from a classical physics on a 4-sphere and parsimony dictates that such a theory is likely to be the correct physical theory for the actual universe we inhabit.