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Gravitational field is the manifestation of space-time translational ($T_4$)gauge symmetry, which enables gravitational interaction to be unified with thestrong and the electroweak interactions. Such a total-unified model is based ona generalized Yang-Mills framework in flat space-time. Following the idea ofGlashow-Salam-Ward-Weinberg, we gauge the groups $T_4 \times (SU_3)_{color}\times SU_2 \times U_1\times U_{1b}$ on equal-footing, so that we have thetotal-unified gauge covariant derivative ${\bf \d}_{\mu} = \p_{\mu} -ig\phi_{\mu}^{\nu} p_{\nu}+ig_{s}{G_{\mu}^{a}}(\ld^a/2) +if{W_{\mu}^{k}}{t^k} +if' U_{\mu}t_{o} + ig_{b}B_{\mu}$. The generators of the external $T_4$ grouphave the representation $p_{\mu}=i\p_{\mu}$, which differs from othergenerators of all internal groups, which have constant matrix representations.Consequently, the total-unified model leads to the following new results: (a)All internal $(SU_3)_{color}, SU_2, U_1$ and baryonic $U_{1b}$ gauge symmetrieshave extremely small violations due to the gravitational interaction. (b) The$T_4$ gauge symmetry remains exact and dictates the universal coupling ofgravitons. (c) Such a gravitational violation of internal gauge symmetriesleads to modified eikonal and Hamilton-Jacobi type equations, which areobtained in the geometric-optics limit and involve effective Riemann metrictensors. (d) The rules for Feynman diagrams involving new couplings ofphoton-graviton, gluon-graviton and quark-gaviton are obtained.

Exact Space-Time Gauge Symmetry of Gravity, Its Couplings and Approximate Internal Symmetries in a Total-Unified Model