The Graph-Theoretic Ontology of EET: Constraint Network as the Discrete Syntax of Existence

What is the fundamental mathematical structure of the constraint network? Is the graph merely a convenient modeling tool, or is it the necessary discrete syntax that any constraint network must obey under Finite Distinguishability? Energy-Efficiency Theory (EET) provides a first-principles answer: the graph is the \textbf{constitutional mathematical grammar} of the constraint network---not an optional representation, but the exact discrete form that the network must take when expressed in the language that finite distinguishability demands. This paper develops the complete graph-theoretic ontology from the generative foundations of EET Core Rules v5.4 and the companion ontologies of Constraint (v2.0) and…