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The $\mathbb{C}^{\wedge 18}$ analogue model contains counterparts to theparticle spectrum and interactions of the Standard Model, and has only threetunable parameters. As the structure of this model is highly constrained,predictive relationships between constants may be obtained. In Chapters 4-6,the masses of the tau, the $W$ and $Z$ bosons, and a Higgs-like scalar bosonare calculated as functions of $\alpha$, $m_e$, and $m_\mu$. They are shown tobe $1.776867413(43)$ GeV/$c^2$, $80.3587(22)$ GeV/$c^2$, $91.1877(35)$GeV/$c^2$, and $125.1261(48)$ GeV/$c^2$ respectively, with no free fittingparameters. All are within $0.1\,\sigma$ of the observed values of$1.77686(12)$ GeV/$c^2$, $80.360(16)$ GeV/$c^2$, $91.1876(21)$ GeV/$c^2$, and$125.11(11)$ GeV/$c^2$ respectively. In Chapter 7 the final ungauged freedom ofthe $\mathbb{C}^{\wedge 18}$ model is used to eliminate the right-handed weakinteraction, while simultaneously introducing space-time curvature and agravitational interaction emulating general relativity. The value of Newton'sconstant is then calculated from $\alpha$, $m_e$, and $m_\mu$, yielding$G_N=6.67426(230)\times 10^{-11}~\mathrm{m}^3\mathrm{kg}^{-1}\mathrm{s}^{-2}$,which is in agreement with the observed value of $G_N=6.67430(15)\times10^{-11}~\mathrm{m}^3\mathrm{kg}^{-1}\mathrm{s}^{-2}$ with tension less than$0.1\,\sigma_\mathrm{exp}$. This persistent consistency with experimentsuggests the existence of a unifying relationship between lepton generations,gravitation, and the electroweak mass scale. In the Classical Analogue to theStandard Model this unification arises from an underlying construction fromcoloured preons, with the low-energy residuals of the preon bindinginteractions corresponding to the strong nuclear force.

A Classical Analogue to the Standard Model, Chapters 4-11: Particle generations and masses; curved spacetimes and gravitation; heavy weak bosons