Axiomatic Narrative and Relational:

Result: The AI ecosystem evolves according to the function R(t) = α·O(t) + β·K(t) + γ·S(t) - δ·E(t), where O(t) represents the expansion of OpenAI, K(t) the evolution of knowledge systems, S(t) the capacity for social simulation, and E(t) ethical considerations. The coefficients α, β, γ, and δ modulate the relative influence of each factor. The derivative dR/dt > 0 indicates an acceleration of innovation, while the equilibrium condition dR/dt = 0 defines the critical point between development and security. The human-machine interaction follows the principle of maximum information entropy, S = -Σ p(i) log p(i), where p(i) is the probability of each state of the system. The multidisciplinary convergence is described by the coupling matrix Mij between fields i and j. The feedback loop between technology and society is modeled by the differential equation dS/dt = f(T) - g(S), where T represents technological development and S the social impact.