Autonomous Topological Reconfiguration under Informational Stress: An SCA/Operium Proof of Concept

This research note develops an empirical validation of the Structure‑Capability Analysis (SCA) within the General Theory of Operational Existence (TGEO). The framework models cognitive discontinuity as a discrete topological reconfiguration of a system’s accessibility matrix \(S\), triggered when accumulated informational tension—Operium—exceeds a critical resilience threshold. To ensure non‑tautological falsifiability, a simulated autonomous agent is implemented without analytic access to the environment’s solution space. The experiment introduces an abrupt dimensional inversion that saturates gradient‑based optimization, after which the agent engages in blind stochastic exploration of structural mutations. A single successful mutation dissolves the informational contradiction in one step, restoring coherent operation. The results support the hypothesis that adaptive insight emerges as a geometric transition driven by informational stress, providing a formal basis for non‑autoregressive architectures guided by negentropic stability.