Pathway 1: The Hunt-Lee Threshold as the Classical Coupling Limit

AbstractWe derive the empirically observed Hunt-Lee ephaptic entrainment threshold (E ≈ 0.74 mV/mm)from first principles within the General Theory of Recoherence Systems (GTRS). Treating theextracellular electromagnetic field as the transactional offer wave and the induced transmembranepolarization as the confirmation wave, we show that the threshold emerges as the thermaldecoherence boundary where coherent signal energy equals Johnson-Nyquist noise energy. For atypical Layer 5 pyramidal neuron (a ≈ 15 μm, β ≈ 1.3), the closed-form expression E_th = √(k_B T /C) / (β a) yields 0.631 mV/mm, bracketing the observed value within the biologically realisticparameter range (0.20–2.88 mV/mm across cell types). The threshold is identified as the α = 0surface in neural state-space—the homeostatic boundary between decoherence-dominated (α < 0)and recoherence-dominated (α > 0) dynamics. We derive three falsifiable predictions: (1) cell-typespecificity of threshold magnitude, (2) √T temperature scaling, and (3) critical cluster-size scalingfor collective entrainment. This appendix establishes the first quantitative bridge between GTRStransactional cosmology and empirical neurophysiology.