The Clifford Space Geometry of Conformal Gravity and U(4)× U(4) Yang-Mills Unification
نویسنده
چکیده
It is shown how a Conformal Gravity and U(4)×U(4) Yang-Mills Grand Unification model in four dimensions can be attained from a Clifford Gauge Field Theory in C-spaces (Clifford spaces) based on the (complex) Clifford Cl(4, C) algebra underlying a complexified four dimensional spacetime (8 real dimensions). Upon taking a real slice, and after symmetry breaking, it leads to ordinary Gravity and the Standard Model in four real dimensions. A brief conclusion about the Noncommutative star product deformations of this Grand Unified Theory of Gravity with the other forces of Nature is presented.
منابع مشابه
A Gravity, U(4)× U(4) Yang-Mills and Matter Unification in Clifford Spaces
A brief review of a Conformal Gravity and U(4)×U(4) Yang-Mills Unification model in four dimensions from a Clifford Gauge Field Theory in C-spaces (Clifford spaces) is presented. It based on the (complex) Clifford Cl(4, C) algebra underlying a complexified four dimensional spacetime (8 real dimensions). The 16 fermions of each generation can be arranged into the 16 entries of a 4 × 4 matrix ass...
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