The Kerimov-Alekberli (KA) stability framework proposes a generalized ethical-stability score, E* = U - S/D, where D = 1 + gamma Iᵢnt + lambda Cₐ. The denominator D dampens the destabilizing effect of entropy S through two structural proxies: internal integration Iᵢnt and aligned reflective capacity Cₐ. Earlier results showed that E* exceeds the linear baseline E = U - S on the IST-20 benchmark, but three questions remained unresolved: whether damping generalizes across entropy regimes, whether E* adapts to time-varying structural states, and whether it outperforms structurally distinct scoring models under high entropy. This paper addresses these questions through four simulation studies. Simulation 1, based on a Markov chain with n = 1000 observations, validates the damping mechanism across three entropy states. The mean difference Delta = E* - E is 0. 0400 (p 0. 15) while preserving interpretability through entropy damping. Simulation 4 shows that Iᵢnt and Cₐ carry complementary information when their mutual correlation rho (Iᵢnt, Cₐ) is below 0. 8, but become partially redundant above this threshold. Overall, the simulations provide mechanistic validation of the KA framework beyond aggregate benchmark statistics and identify directions for future empirical and theoretical work.
Karimov et al. (Mon,) studied this question.