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Also, as we have discovered previously mentioned, all of this only works with the ideal symmetry breaking. Yes, this performs in all individuals diagrams, and gives particle interactions -- it is form of uncomfortable, but grade university kids are going to be in a position to do this. It's just vector addition in 8 Euclidean dimensions, but it works in two since it is a linear projection. Baez pointed out the e8-triality decomposition and the reality to recognize the symmetry lie-algebras of the SM as sub-algebras of e8 are not new, so the plan to determine a vector bundle affiliated to a 'physical' illustration of E8 and one out 'physical' connections is maybe not pretty so 'sophisticated' as it may seem at very first sight. But lets go back to the root diagram with no the dynamics, prior to symmetry breaking. They all mix, and we fix that with the symmetry breaking. I suspect that a person need to incorporate it by hand, as I suspect that need to be finished with the SU(4) breaking (that likely ought to transpire at a diverse power scale.. I am not applied to Mansouri gravity, but I never understand how you outline the hodge twin employing the relationship only, usually you will need a foundation of a person types, a body, although dynamical
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