4.4 Joint Steady State

This article solves the joint steady state of the 𝒞ℐ two-field coupling. The steady state is a Gibbs equilibrium state, uniquely determined by the interaction Hamiltonian and the Causal Field temperature. The joint steady state yields the equilibrium distribution of the Causal Field and the Information Field — this is the foundation for the three-field coupling (Vol. 6). This article derives the steady-state condition in detail, analyzes the Jacobian convergence properties, and discusses the extension to the three-field joint steady state.