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From the very beginning, the inflation hypothesis, with the ‘inverse singularity’ from the redshift-distance relation interpreted as a Doppler type effect by the Catholic priest Lemaitre, was inspired by a creator God and a moment of creation of the universe.  On purely technical grounds, the expansion is a qualitative interpretation: yes, it does provide quantitative interpretation in terms of inflation rate but the qualitative interpretation precedes the quantitation.  My explanation of redshift as a systematic geometric error of measuring frequencies in a stationary spherical universe produces a quantitative expectation for example on the expected slope of the redshift-distance relation from a parsimonious model of the universe and therefore is superior to the inflationary models.  Although strictly on the basis of comparison of scientific theories, this would have been enough to displace inflationary theories but scientific paradigms have inertia and so the inflationary models persist.  So we get claims of more discoveries in the vein of inflation.  For me this means that S4 physics needs further development.  Yesterday, I was able to sift through mathematical research on classical Hamiltonian systems and found work by Vieri Benci showing how for a compact manifold reasonable (in terms of bounds on the Lagrangian) Hamiltonian systems have periodic orbits.  This is an extremely useful result because I have produced evidence that the universe is an eternal four-sphere and therefore the physical universe is a three-dimensional submanifold.  The radius of the sphere must be $1/h$ in terms of Planck’s constant in length units.  I have already sketched how the gravitational field equations, the ‘space’ part, occurs via submanifold Ricci curvature with a ‘cosmological constant’ that matches measurements.  Grand unification on a 4-sphere is a much easier problem than on a noncompact universe mathematically and I hope to return to the ideas of Weyl with some modifications to begin with the central issue of unity of gravity and electromagnetism.  Also, I believe that electromagnetism is not quite a $U(1)$ gauge theory as there is a natural ‘circle-bundle’ structure on a 4-sphere for a hypersurface: every normal geodesic is a circle of length $2 \pi/h$.