Symplectic Function Model Dynamics

We develop a symplectic geometric framework for function models, treating functional model space as a phase space equipped with a Hamiltonian structure derived from an objective functional. Discrete morph operations are shown to generate symplectic or quasi-symplectic transformations, while small morphs converge to Hamiltonian flows. This provides a physically motivated mechanics for model evolution. Throughout this note, the term function model may be interpreted as a concrete instance of a functor acting between structured model spaces.