We apply the Cartan's supersymmetric model to the electromagnetic and weak
interaction of leptons and hadrons, and study dynamics of π0,η,η′
meson and Higgs boson. We adopt the Clifford algebra, express Pauli spinors by
quaternions, Dirac spinors by octonions, and take into account the
supersymmetric transformations Gij​ and Gijk​ of Cartan.
When Higgs boson is assigned as Cartan's spinor pairs Ψ=ψˉ​ψ or
Φ=ϕˉ​ϕ, its decay into γγγγ does not occur,
but there appear 8 diagrams of Ψ→γγ and 8 diagrams of
Φ→γγ.
If our world matter makes 4.6\% of the total matter, and we can interpret the
matter transformed by G23​,G12​,G123​,G13​,G132​ or about 5 times
of our matter, i.e. 23\% corresponds to dark matter.
We can assign the world transformed by G12​,G123​,G13​ and
G132​, which make about 2/3 of the total corresponds to the dark energy.
Experimentally, 72\% of the total matter corresponds to dark energy.Comment: 28 pages, 52 figures, RIKEN workshop 4th Sept. 201