  Despite its tremendous success, the Standard Model of particle physics does
not explain why the weak interaction breaks chiral symmetry. Various unified
theories got us closer to an answer, but too often the explanation consists of
labeling the $\operatorname{SU}(2)_w$ singlet representations as right-handed,
and the doublet ones as left handed. This by itself does not ensure a chiral
preference, because chirality itself, arising in the Dirac spinors, is not a
property of the internal gauge group representations. Something deeper than
mere labeling is required. In this paper, some of the progress using exterior
and Clifford algebras is reviewed, and a possible explanation for chiral
asymmetry is presented. It is shown how such a solution is present, rather
implicitly, in a model proposed in a previous article.
