Dark revelations of the [SU(3)]3 and [SU(3)]4 gauge extensions of the standard model

Two theoretically well-motivated gauge extensions of the standard model are $SU{\left(3\right)}_C\times SU{\left(3\right)}_L\times SU{\left(3\right)}_R$ and $SU{\left(3\right)}_q\times SU{\left(3\right)}_L\times SU{\left(3\right)}_l\times SU{\left(3\right)}_R$, where $SU{\left(3\right)}_q$ is the same as $SU{\left(3\right)}_C$ and $SU{\left(3\right)}_l$ is its color leptonic counterpart. Each has three variations, according to how $SU{\left(3\right)}_R$ is broken. It is shown here for the first time that a built-in dark $U{\left(1\right)}_D$ gauge symmetry exists in all six versions. However, the corresponding symmetry breaking pattern does not reduce properly to that of the standard model, unless an additional $Z_2^{\prime }$ symmetry is defined, so that $U{\left(1\right)}_D\times Z_2^{\prime }$ is broken to $Z_2$ dark parity. The available dark matter candidates in each case include fermions, scalars, as well as vector gauge bosons. This work points to the possible unity of matter with dark matter, the origin of which may not be ad hoc.