Cellular membranes as Quantum-to-Classical Transducers via 1836:1 mass-anisotropy

Biological energy transduction is classically described by Mitchellian chemiosmosis via stochastic proton diffusion. However, anomalous kinetic isotope effects (KIE) and localized surface conduction indicate sub-atomic mechanisms extending beyond classical thermodynamics. Here, we identify the 1836:1 mass-anisotropy between the proton and electron as the fundamental physical driver of a Quantum-to-Classical Transducer (QCT). Utilizing the Caldeira-Leggett framework, we show that the electronic wavefunction undergoes a non-adiabatic Quantum Search for optimal redox trajectories, which is subsequently rectified into Classical Storage via environmental decoherence. We quantify the polyanionic glycocalyx as a dielectric rectifier that induces wavefunction collapse at a 2.4 THz resonance frequency. The evolutionary transition from Hadean sulfur-based acceptors to modern oxygen respiration reduced decoherence time by 75%, increasing bioenergetic power density. Furthermore, we demonstrate that aromatic residues mediate this sub-atomic rectification, providing a unified physical chemistry framework for membrane charge translocation.