Recall that the basic particle braids in $B_3$ (the braid group) can form two kinds of $(123)$ braid: the photon identity and a mirror pair.
The mirror pair gives a representation of $B_2$ in $B_3$, since it has an obvious inverse and thus generates the integers $Z$. For $B_2$, the number $0$ is the photon braid. Note also that the neutrino braids perform supersymmetry with triality, which underlies the mass quantum numbers.
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