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- W2034175891 abstract "A gravity-incorporated standard model is constructed in a generalized differential geometry (GDG) on R4×X2. Here, R4 and X2 are the four-dimensional Riemann space and two-point discrete space, respectively. A GDG on R4×X2 is constructed by adding the basis χn (n = 1,2) of the differential form on X2 to the ordinary basis dxµ on R4, and so it is a direct generalization of the differential geometry on the continuous manifold. A GDG is a version of non-commutative geometry (NCG). We incorporate gravity by simply replacing the derivative ∂µ by the covariant derivative ∂µ + ωµ for a general coordinate transformation in the definition of the generalized gauge field on R4×X2, keeping other parts unchanged. The Yang-Mills-Higgs Lagrangian for the standard model is obtained by taking the inner product of two generalized field strengths, whereas the Einstein-Hilbert gravitational Lagrangian is created by the inner product of a generalized field strength and a tensor {Ea}b on local Lorentz space." @default.
- W2034175891 created "2016-06-24" @default.
- W2034175891 creator A5016670036 @default.
- W2034175891 date "2000-10-09" @default.
- W2034175891 modified "2023-09-23" @default.
- W2034175891 title "Gravity-incorporated standard model in a generalized differential geometry" @default.
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- W2034175891 doi "https://doi.org/10.1088/0954-3899/26/11/306" @default.
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