Universe as projection of loxodrome from hypersphere

Source of pictures: https://en.wikipedia.org/wiki/Stereographic_projection


In article was shown possible geometrical nature of Higgs potential as intrinsic feature of given geometry of loxodrome on hypersphere and its stereographics projection to hyperplane. Such kind of projection has a conformal characteristic and keeps light cone structure under transformation. Relevant fibre space represent a space structure of our universe. Whole Lorentz manifold spacetime is obtained as evolution of S3 fibers, similar like S1 fibers circles on picture 2.
From outside our universe looks like colored rhumb (whole history of S3 points (represent our spacetime) on S4 sphere (representing other quantum degrees of freedom)) line on picture. Total space in this model will be a S7 sphere. This hypersphere contain some internal symetries, conserving charges and atributes of particle physics[10] like colour charge.  S^{4n + 3} => S^{3} => S^{8} = PH^{2} give also chiral symmetry.
This model gives a natural mechanism why we can not observe a magnetic monopole in our universe in spite Dirac quantum condition also. Here is importatnt to mention, that Higgs field in this interpretation is not a phase transition which happened  14 billion years ago, when the temperature of the universe cooled below Lambda(QCD) $. Is intrinsic present as parameter of universe construction from beginning.

Source of pictures: http://www.nilesjohnson.net/hopf.html