Cross-Domain Structural Isomorphism in Constrained Generative Systems: Agent-Independence and Consumption-Type Dependence of the Regime Space

We establish two structural results about the regime space of constrained generative systems (CGS). First, agent-independence: the six-configuration structure identified for seven LLM architectures on the de Bruijn graph B(7,5) is recovered in 721 human trajectories on the same graph, with identical cluster signatures (K=6, Ward linkage). Second, consumption-type dependence: the number of observable configurations varies systematically with the consumption type. Arc-consumptive (T2) systems exhibit six configurations, while trajectory-consumptive (T3) and node-consumptive-dominant (T1) systems exhibit four. Across four independent datasets, 211 LLM level-episodes, 721 human game trajectories, 72 LLM-vs-LLM semantic games, and 216 chess games between six deterministic strategies, the regime structure is invariant to agent type (adjusted Rand index < 0.10) and covaries only with the form of irreversible consumption. The results are unified by the Regime Product Structure (Proposition 3): the regime space decomposes as R = L × Φ, yielding K = 2·|L(T)|, where |L| is the number of limit states accessible under consumption type T.