The Sahyoun Invariant (C): Multi-Scale Empirical Validation via Quintic Mass Scaling. This paper presents the discovery of the Sahyoun Constant (C), a universal topological invariant defined as C = (I ²) / (G² M⁵). For the first time, we demonstrate that a quintic scaling of mass (M⁵) is the essential geometric requirement to achieve a dimensionless stability metric across diverse physical and digital domains. Through rigorous C++ simulations and multi-scale empirical analysis, we confirm that C converges to 0. 201371, acting as a "Topological Deadlock" that prevents system collapse. Our findings offer a transformative framework for stabilizing AGI neural architectures and achieving steady-state equilibrium in fusion plasma, marking a significant advancement in the Grand Unified Theory of structural stability.
Maamoun Sahyoun (Fri,) studied this question.