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I
The category whose objects are institutional systems — triples of state space, transition function and architecture — and whose morphisms are structure-preserving transformations between them. ⚠️ The morphisms are the gap: "architecture-preserving transformation" is a description rather than a definition, and until it is one, the categorical claims built on this category cannot be checked. Supplying it is the precondition for the paper's open problem.
A hospital, a climate agency, and a scientific laboratory are all objects in I. A policy reform that restructures a hospital's capital architecture is a morphism in I—it transforms one institutional system into another.
Foundations of Regenerative Systems §4 (proposed)