Scholarly record
Research summary
A synthetic population of momentum-bearing transporters interacts through shared finite ionic and chemical reservoirs and an inventory-derived membrane capacitor. The exact diffusion–jump source yields a well-posed nonlinear kinetic–chemical–electrical population law, finite-time convergence under specified positive-resource preparations, conditional propagation of chaos and selected Gaussian fluctuations with shared-event covariations. Explicit equal-energy preparations demonstrate distinct currents despite matching concentrations, phase fractions and energy, and the loaded-current observable has no invariant finite polynomial-momentum generator dictionary. A residual-controlled maintained-source projection certifies 1.8932060449 < χ(0.05) < 1.9954528308 < χ(0) = 2 for a prescribed matched preparation; thermodynamic, entropy and charge-band results retain their declared conditions. These results are finite-time and synthetic, not calibrated claims about a biological population.
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Scientific context
This paper belongs to the Kinetic Organization and Biological Function research program.