Scholarly record
Research summary
Paper V establishes global selection of the unique maintained stationary organization of the original nonlinear four-phase kinetic–chemical–electrical transporter system. The full position–momentum–phase law is coupled to finite shared inventories and a physical capacitor. An exact bulk–shape decomposition, uniform fifteen-pair bulk comparison, and nonautonomous twelve-input kinetic response give a strict rational four-current feedback bound below 17/20, excluding nonstationary bounded complete attractor trajectories. Consequently the compact global attractor is the singleton {X*}, attracting each bounded admissible positive finite-second-moment preparation class in the stated weighted density/resource topology. The selected state retains positive stationary material circulation, chemical regeneration and energetic turnover. In the stationary large-population limit, interacting empirical-state laws converge weakly to the point mass at X*, with convergence of selected charge, current and caloric observables. Iterated population/time limits commute for the stated bounded continuous state observables but remain noncommuting for uninterrupted charge-band survival. These results concern the specified synthetic physical source; they do not imply calibrated biological function, a universal convergence rate, or indefinite finite-population path survival.
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Scientific context
This paper belongs to the Kinetic Organization and Biological Function research program.