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Quasiparticles and analog models are ubiquitous in the study of physicalsystems. Little has been written about quasiparticles on manifolds withanticommuting co-ordinates, yet they are capable of emulating a surprisingrange of physical phenomena. This paper introduces a classical model of freefields on a manifold with anticommuting co-ordinates, identifies the region ofsuperspace which the model inhabits, and shows that the model emulates thebehaviour of a five-species interacting quantum field theory on$\mathbb{R}^{1,3}$. The Lagrangian of this model arises entirely from theanticommutation property of the manifold co-ordinates. This is part one of aseries, which continues in arXiv:2108.07719 and arXiv:0805.3819, and concludesin arXiv:2008.05893 with a first-principles calculation of the value of thegravitational constant in the classical analogue model.

A Classical Analogue to the Standard Model, Chapter 1: Normalisable quasiparticles on a manifold with anticommuting co-ordinates