Deterministic Structural Causal Dynamics (DSCD): Trust-Gated Emergence of Certifiable Causal Graphs for Safety-Critical Aerospace Autonomy

Causal structure in safety-critical systems is typically modeled using probabilistic graphicalframeworks whose validity depends on distributional assumptions and stochastic independence.Such assumptions may degrade under adversarial disturbances, non-Gaussian sensor corruption,or abrupt regime shifts.This paper introduces Deterministic Structural Causal Dynamics (DSCD), a framework inwhich causal adjacency emerges from bounded structural growth constrained by trust-monotoneobserver hierarchies. DSCD integrates algebraic rewriting invariants, resonance-based reacha-bility, and deterministic residual envelopes to generate a locally finite directed acyclic graphwithout invoking probabilistic primitives.Under…