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Within Yang-Mills gravity with translation group $T(4)$ in flat space-time,the invariant action involving quadratic translation gauge-curvature leads toquadrupole radiations which are shown to be consistent with experiments. Theradiation power turns out to be the same as that in Einstein's gravity to thesecond-order approximation. We also discuss an interesting physical reason forthe accelerated cosmic expansion based on the long-range Lee-Yang force of$U_{b}(1)$ gauge field associated with the established conservation law ofbaryon number. We show that the Lee-Yang force can be related to a linearpotential $\propto r$, provided the gauge field satisfies a fourth-orderdifferential equation. Furthermore, we consider an experimental test of theLee-Yang force related to the accelerated cosmic expansion. The necessity ofgeneralizing Lorentz transformations for accelerated frames of reference andaccelerated Wu-Doppler effects are briefly discussed.

Yang-Mills Gravity in Flat Space-time, II. Gravitational Radiations and Lee-Yang Force for Accelerated Cosmic Expansion