  In this paper we propose a new approach for the spontaneous breaking and
restoration of the $SU(3)_C$ color symmetry in the framework of electroweak
symmetry non-restoration (EWSNR) at high temperature, which provides an
alternative approach for the Baryogenesis. Due to the exotic high vacuum
expectation value (VEV) of the SM Higgs doublet in EWSNR, the color symmetry
can be spontaneous broken succeeding the electroweak phase transition whenever
there is a negative quartic coupling between the SM Higgs and a scalar color
triplet. The color symmetry is then restored at low temperature as the VEV of
SM Higgs evolving to small value. We show that the phase transitions related to
color breaking and restoration can be first order, and the stochastic
gravitational wave (GW) signals are smoking-gun of these processes. We
demonstrate the possibility of detecting these GW signals in future GW
experiments such as DECIGO and BBO.
