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The $\mathbb{C}^{\wedge 2\mathfrak{n}}$ models are analogue models whichgenerate Lagrangians for quasiparticles on $\mathbb{R}^{1,3}$ fromantisymmetric vector products on Grassmann manifolds. This paper introduces$\mathbb{C}^{\wedge 18}$, the smallest member of this series which is capableof hosting a quasiparticle spectrum analogous to the Standard Model. Once allgaugeable degrees of freedom have been fixed, the particle spectrum of$\mathbb{C}^{\wedge 18}$ is seen to resemble the Standard Model plus twoadditional weakly interacting bosons and a ninth gluon.

A Classical Analogue to the Standard Model, Chapter 3: Standard Model particle spectrum from scalar fields on $\mathbb{C}^{\wedge 18}$