Can an Action Potential Magnetically Drive Mitochondrial ATP Synthesis?

Neuronal firing creates an immediate energy bill. Ionic gradients must be restored, vesicles recycled, proteins maintained, and synapses supplied. The established account connects that bill to local mitochondrial response through substrate demand, calcium signaling, transport, and metabolic control. Self-Aware Networks (SAN) notes publicly fixed in June 2022 proposed a more specific addition: the electromagnetic field accompanying neuronal firing could alter mitochondrial flavin chemistry, increase ATP production, and thereby influence plasticity. This paper asks what that proposal would have to mean physically and how it can be distinguished from ordinary activity-to-metabolism coupling. Four routes are kept separate: established biochemical demand coupling; calcium-mediated mitochondrial control; ordinary Faraday induction; and chemically specific radical-pair transduction. A unique organelle exposure cannot be reconstructed from action-potential voltage alone. It requires compartment-resolved currents, intra- and extracellular electrical properties, return-current geometry, mitochondrial position and orientation, crista geometry, and the local background field. We therefore compute transparent geometry-aware screening bounds rather than claiming a complete neuronal field solution. A 10 nA reference current in a uniform 0.5 micrometre radius cylinder gives 2 nT at the declared organelle position and a closed-path circulation electromotive force of V. A deliberately favorable 1 microampere internal case gives 0.28 microtesla and V. An ideal-line near-source ceiling gives 1.54 microtesla and V. Even the ceiling supplies less than of thermal energy per elementary charge. Ordinary induction is therefore quantitatively negligible in these favorable geometries. That no-go result does not decide the radical-pair route, which changes chemical branching rather than supplying bulk activation energy. The relevant electron-transfer-flavoprotein pilot compared 20 nT with 50 microtesla but found no statistically significant difference in either hydrogen peroxide or superoxide production. A separate redox-flavoenzyme study likewise found no magnetic response under its tested conditions. Thus neither source demonstrates neuronal magnetic control of ATP. The radical-pair branch remains a conditional hypothesis requiring a nominated molecular pair, compatible lifetime and kinetics, measured endogenous waveform, amplification, and an ATP consequence. A staged purified-protein, isolated-mitochondrion, and neuron-level cancellation-and-rescue program is specified to decide it. The result is a typed verdict: activity-dependent mitochondrial support of plasticity is established; direct induction fails the scale test; flavin radical-pair mediation remains unvalidated but experimentally decidable.