Ripheus23
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https://en.wikipedia.org/wiki/Rectified_5-cell
So, in the next stage of dimensionalization after 3-space appears, the tetrons and the octons are composed in the 5-cells and the rectified 5-cells that are tessellated together in 4-space. If the 5-cell has 5 particle types associated with it, and if the rectified 5-cell has 10, then there are 15 particles of tessellation (tessellons?) in 4-space. Now the theory as it stands becomes geometrically degenerate at the next stage of dimensionalization unless the information is hosotopically curved. Besides, then, rectilinear-spherical duality, we have a basis for the spheration of space in gravity, but then the graviton is an intrinsically 5-dimensional (spacewise) quantum field (it is the spheration arising from the hosotopic action at that stage). [Moreover, the sphere-helix of the tetrahedral chain mediates gravitational action, under the assumption that the tetrahelix naturally arises in action and satisfies the required principle of correspondence, here. So perhaps it is not necessary to limit gravity to 5-space, as such.]
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Otherwise, though, we just have one graviton type acting at each stage, invoked under different conditions. Since the 5-cell can decompose into tetrahelical manifolds, it can subsume that form of spheration into its action. But so anyway, there are 14 particle types at the 3-space stage (Higgs, graviton, 12 vectrons/gluons), then 17 (hyper-Higgs, hyper-graviton, 15 hyper-vectrons/gluons). If dimensionalization proceeded apace, then there would be 43 particle types (6 for the 5-simplices, 15 for the rectified 5-simplices, and 20 for the birectified 5-simplices, and then the other 2). So {5, 14, 17, 43}... an interesting pattern to consider, as it would then enable a prediction of which stage of dimensionalization the universe was at, based on which of the numbers on this list the universe was set towards...
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