This paper develops the interpretive structure implicit in the Modal–Dependence Calculus (MDC). Building on the formal results of Jacobs (2026a), it makes explicit the global organization induced by the dependence relation through its reflexive–transitive closure D*. Within any structure satisfying A0–A8, contingent entities occupy determinate positions in a well-founded dependence structure, and all admissible dependence paths converge upon a unique invariant endpoint (the Core). The orbit–core distinction is introduced as a descriptive framework for this topology: contingent entities form a negative orbit directed toward a positive orbit of invariant elements. From this perspective, explanatory closure and structural minimality are not independent assumptions but consequences of the constraint set. The Core is not introduced as a primitive ground but identified as the structural limit that remains once non-terminating, cyclic, and non-invariant configurations are excluded. The paper also analyzes the structural costs of pluralist configurations, identifying the conditions under which terminal multiplicity is compatible with the framework, including the relaxation or supplementation of A4 (well-foundedness), A6 (invariance-directedness), or A8 (indiscernibility). No new primitives are introduced; all results remain grounded in the original MDC framework. The analysis is conditional on structures satisfying A0–A8 and makes no claims about the intrinsic nature of the Core. Companion to: Jacobs (2026a), *The Modal–Dependence Calculus (MDC): A Minimal Modal Framework for Invariance and Dependence in Quantified S5*. DOI: 10.5281/zenodo.19704166.
Austin Jacobs (Thu,) studied this question.