Helical Topological Closure Theorem in the Trace–Parasitic–Memory Framework: Minimal Dimensional Self-Consistency and Spiral Closure Structure 迹寄记框架中的螺旋拓扑闭合定理:最小维度自洽与三层螺旋结构

This work proposes a minimal topological closure theorem within the Trace–Parasitic–Memory (TPM) generative ontological framework. We prove that the minimal self-consistent closure of existence is not planar but helical, and that its minimal dimensional realization requires: Dₘin = 5 + 5 + 1 = 11. The structure is interpreted as a three-layer spiral topology consisting of generative expansion (Trace), dual negotiation (Parasitic), and normalization closure (Memory). This closure provides a unified structural basis for relational packaging, stability formation, and causal boundedness. —— 本文在迹–寄–记生成本体论框架下提出最小拓扑闭合定理。 证明存在的最小自洽闭合结构并非平面圆, 而是三层螺旋拓扑, 其最小实现维度为: Dₘin = 5 + 5 + 1 = 11。 该结构由迹 (生成展开) 、寄 (对偶协商) 、记 (归一封存) 三相构成, 为关系封装、稳定形成与因果边界提供统一拓扑基础。