RCD Paper XI: Structural Trade-offs in Classical Binding Mechanisms Under Noise

We investigate the capacity of classical computational architectures to maintain coherent information binding under environmental perturbation. Using a minimal three-module system with a dynamic coherence mechanism C(t), we measure two primary metrics: global consistency (I_binding) and stability under noise (Gamma_func). Results across multiple independent runs demonstrate a consistent structural trade-off: the system achieves coordination between modules (I_binding > 0.3) only by reducing coherence strength, resulting in instability (Gamma_func > 0.1). This trade-off appears structural rather than parametric, persisting across hyperparameter variations. These findings provide evidence for a structural limitation in the class of classical binding architectures examined here, and suggest that alternative computational paradigms with native mechanisms for protected correlation may warrant further investigation. This is Paper XI in the RCD series, initiating the Quantum Binding track. Keywords: binding problem, coherence, decoherence, neural coordination, information integration, computational architectures, stability-coordination trade-off, Radial Coherential Dynamics