  The gauge formalism in telepalallel gravity provides an interesting viewpoint
to describe interactions according to an anholonomic observer's tetrad basis.
Without going into assessing the complete viability of quantization in an early
stage, this paper explores classical gravity within the framework of a
classical-to-quantum bridge between the SU$(1, 3)$ Yang--Mills gauge formalism
and the gauge-like treatment of teleparallel gravity. Specifically, the
perturbed spacetime algebra with Weitzenb\"ock connection can be assimilated to
a local complexification based on the SU$(1,3)$ Yang--Mills theory, what we
call hypercolour or, simply, colour. The formulation of the hypercolour
dynamics is build by a translational gauge, as in the teleparallel gravities.
In particular, this work analyses small perturbations of a metric decomposition
related to the Wilson line and the Kaluza--Klein metric, but obtaining
electrodynamics in four dimensions. The spacetime coordinates are now matrices
representing elements of the $\mathfrak{su}(1,3)$ algebra. To make compatible
the formulation of a coloured gravity with the Lorentz force and the Maxwell's
equations, it is enough to define every energy potential origin as 0 in the
event horizon instead of the classic zero potential at infinity. Under the
coloured gravity framework, standard electromagnetism can be obtained as a
particular abelian case.
