Pre‑Geometric Structural Framework

This work presents a pre‑geometric structural framework that defines the minimal ontological architecture preceding the emergence of geometry and dynamics. The framework is dimension‑independent and organized around a unique structural hyperboloid acting as an ontological attractor in state space. Structural states are described by a barycentric tripartition, a simplicial connectivity graph, and a structural phase. A structural coarse‑graining operator reduces redundancy, preserves critical connectivity, and expands the open sector. Its iteration leads to an invariant region supporting a multifractal boundary and a modal spectrum. A stable structural invariant emerges in the form[ 5 : 27 : 68, ]which carries no physical interpretation. The framework provides the minimal structural substrate required for later geometric and physical regimes.