Cross-Domain Stress-Testing of the AM-Regulator

This paper provides the first universal stress-test of the Additive–Multiplicative (AM) Regulator across eighteen heterogeneous domains. By implementing a regulated electronic circuit model and quantum-electronic simulations, the Scale-Regulated Aggregation (SRA) framework is tested against real-time datasets spanning the period 2024–2026. The analysis ranges from spectral statistics associated with the Hilbert–Pólya formulation of the Riemann Hypothesis ^[1][2][3] to the volatility of global oil production during conflict-driven geopolitical shifts. ^[8]

The results indicate that the AM-Regulator remains computationally active across all tested domains. Systems traditionally modeled through purely additive frameworks display divergence under stress conditions, whereas regulated accumulation produces bounded, saturating behavior. Numerical residuals show consistent suppression of divergence across mathematical, physical, engineering, and economic datasets.

The findings therefore support a structural interpretation; divergence across complex systems arises primarily from unregulated aggregation rather than intrinsic instability. The AM-Regulator acts as a scale-dependent operator restoring bounded dynamics across domains.