Why does the membrane potential of biological neuron develop and remain stable? (2507.11448v1)

Abstract: The neuronal electric operation can entirely be described by physics provided that we take into account that slow positive ions instead of fast light electrons are the charge carriers that biology uses. Based on the slow ions, we derive the correct physical model that Hodgkin and Huxley wanted. By using laws of electricity and thermodynamics in a non-disciplinary way, we derive the resting potential from the first principles of science, from the biological "construction" (the thickness of the isolating semipermeable membrane and the presence of ion channels in the walls of the membrane separating ionic solutions). We show that a simple control circuit regulates neuronal operation, between a resting and a transient state and that issuing an Action Potential is part of the control process. We explain that the resting potential is the consequence of charge separation instead of an ad-hoc linear combination of mobilities or reversal potentials as the Goldman-Hodgkin-Katz equation claimed. We defy the hypothesis suggested by HH that some "leakage current" produces the resting potential; this way solve the decades-old mystery of "heat absorption" by neurons, the controversy of the experienced and theoretically expected energy consumption of neural computing. We fix the mistakes HH guessed in the physical picture behind their empirical model and mathematical equations, and introduce the correct physical model by providing also its detailed mathematical description.