The Axon Tract as a Transducer: Simulation of Gravitational Waves Coupling With an Ion at the Node of Ranvier

What happens when an axon tract acts as an intermediary between metric perturbations and ions in a node of Ranvier of an axon in the tract? In this paper, the authors present computer simulations of the time-dependent Schrodinger Equation that utilize Crank-Nicolson discretization. The environment potential is provided by action potentials of two neighboring axons, which in turn are perturbed by gravitational waves. At about fourteen significant figures in MATLAB precision, a clear impact of environmental potential modification on the ion wave function evolution is verified. Betwixt the metric perturbation and the quantum evolution, the axon tract can thus be seen as a classical-quantum transducer.