This work establishes a rigorous topological and structural framework for generative relational systems. We prove that stability requires bounded generation, scalar closure, non-degenerate dual negotiation, and helical topological recursion. From these constraints we derive the minimal closure dimension Dₘin = 11. The argument is formulated using dual pairing theory, covering spaces, winding invariants, and compactification principles. We demonstrate that any dimension lower than eleven violates at least one structural stability condition. We further formalize the philosophical statement "zero equals one" as a closure homotopy equivalence (0 ≃ 1) under bounded generative compactification, preserving logical consistency while capturing ontological duality. This paper serves as a foundational theorem establishing minimal dimensional closure for generative relational existence models.
shuilong et al. (Fri,) studied this question.