The Constitutional Transmission Matrix (v8.1): Axiom ρ as a Nonlinear Damping Mechanism in 9-Domain Coupled Systems

29 April 2026, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

This article develops a formal framework for analyzing stability in high-complexity socio-technical systems. Drawing on control theory, strategic studies, and nonlinear dynamics, it models systemic drift as cumulative deviation across coupled domains and introduces Axiom ρ as a nonlinear damping mechanism. Simulation results indicate that unmitigated trajectories lead to near-total loss of structural coherence, while timely constraint embedding preserves system integrity by an order of magnitude. The findings suggest that stability is not equilibrium, but the sustained capacity to offset drift under bounded disturbance.

Keywords

matrix
transmission
equilibrium
stability

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