Formulation of the Cosmic Equilibrium Constant Derived from Topological Manifold Duality and Cognitive Dynamics of Internal Observers

A closed cyclic cosmic driving model connects local spatiotemporal velocity fields with global boundary conditions of white hole (WH) sources and black hole (BH) sinks. This architecture is modeled as a globally closed, non-equilibrium steady state (CNESS) via topological duality and algebraic geometry. By evaluating the thermodynamic coupling between localized emanation fields and global boundaries, the exact cosmic equilibrium constant Kcosmos is derived, establishing formal logical closure for a self-sustaining cosmological manifold without requiring external boundary regularizations.