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arXiv · 1106.2121

A Unified Gravity-Electroweak Model Based on a Generalized Yang-Mills Framework

Jong-Ping Hsu
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Abstract

Gravitational and electroweak interactions can be unified in analogy with the unification in the Weinberg-Salam theory. The Yang-Mills framework is generalized to include space-time translational group T(4), whose generators $T_μ(=\p/\p x^μ)$ do not have constant matrix representations. By gauging $T(4) \times SU(2) \times U(1)$ in flat space-time, we have a new tensor field $ϕ_{μν}$ which universally couples to all particles and anti-particles with the same constant $g$, which has the dimension of length. In this unified model, the T(4) gauge symmetry dictates that all wave equations of fermions, massive bosons and the photon in flat space-time reduce to a Hamilton-Jacobi equation with the same `effective Riemann metric tensor' in the geometric-optics limit. Consequently, the results are consistent with experiments. We demonstrated that the T(4) gravitational gauge field can be quantized in inertial frames.

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Jong-Ping Hsu. 2011-06-10. A Unified Gravity-Electroweak Model Based on a Generalized Yang-Mills Framework. https://doi.org/10.1142/s021773231103619x

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