Attempt to generate the angle between the strong and weak interactions

We construct a toy gauge model in which the Cabibbo angle is generated by the effects of weak interactions. The model is so arranged that in the absence of the weak and electromagnetic interactions the N and λ quarks are both massless and degenerate with each other. The weak interaction splits this degeneracy and thus generates an angle between the strong and weak interactions. The value of the angle is determined in terms of certain parameters (experimentally measurable but unknown) that appear in the model. More interestingly, we abstract from this model the following statement: In the limit of vanishing Cabibbo angle, chiral symmetry becomes exact. It is argued that this statement holds for a large class of models. We suggest that in the real world this relation is also valid. A certain phenomenon involving CP violation and various options one may have in constructing a gauge theory including CP violation are discussed.