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η: Id_I ⇒ R
The canonical embedding of any institutional system into its regenerative counterpart. For each object S, there exists a morphism η_S: S → R(S) representing the structural upgrade from fragile to regenerative architecture. η captures the transition from traditional capital to PSC, from misaligned to aligned cycles.
η_hospital embeds a traditional budget-cycle hospital into its PSC-governed, RCA-aligned regenerative version. The natural transformation describes how any institution can be systematically upgraded.
FRS Section 4.5