Validation of the Salter Theorems for Relational Density and System Coherence

The Salter Theorem provides a framework for understanding the intrinsic dynamics of complex systems, positing that their structural existence, integrity, and evolutionary trajectories are fundamentally governed by principles of Coherence. Central to this framework is Salter's Law, which asserts that the emergence, stability, and adaptive capacity of any system are direct functions of its coherent organization. This foundational law is quantitatively articulated through the Salter equations of coherence, defining key constructs such as overall system Coherence (C), Relational Density (S), and Emerged Coherence (CC). This paper validates two core equations: the Salter Equation for Relational Density, S = (A B + B A