Stability Oracle v1: A Deterministic Structural Evaluation Engine for Cross-Domain Trajectory Stability

The Stability Oracle is a deterministic evaluation engine designed to assess whether meaningful structural organization persists across state transitions in dynamical systems.

Rather than modeling semantics, domain knowledge, or learned representations, the engine operates on structured telemetry describing system trajectories. State evolution is encoded geometrically and evaluated using reproducible metrics that quantify structural retention, temporal consistency, propagation behavior, and geometric integrity.

The oracle produces bounded classifications — stable, marginal, or unstable — based solely on measurable properties of trajectory evolution. This architecture enables cross-domain applicability without domain-specific tuning.

The current proof-of-concept implementation demonstrates consistent behavior across symbolic reasoning traces and continuous agent motion dynamics, supporting the hypothesis that structural stability evaluation can be decoupled from system semantics.

Future work focuses on characterization of transition-regime boundaries and potential use of marginal stability prediction as a control signal for adaptive systems.

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