  An optimal algebraic model of particle physics has a number of checkpoints to
pass. As a minimum, models should $\langle 1 \rangle$ conform to the
Coleman-Mandula theorem (or establish a loophole), $\langle 2 \rangle$ evade
familiar fermion doubling problems, $\langle 3 \rangle$ naturally explain the
Standard Model's chirality, $\langle 4 \rangle$ exclude B-L gauge symmetry at
low energy, and $\langle 5 \rangle$ explain the existence of three generations.
We demonstrate how the model introduced in [1] passes checkpoints $\langle 1
\rangle, \langle 2 \rangle, \langle 3 \rangle, \langle 4 \rangle$, and has yet
to cross $\langle 5 \rangle$. We close by elucidating an unexpected appearance
of spacetime symmetries.
