Supplemental Data: Quantum Coherence in Neural Microtubules: A Fully Unified, Empirically Grounded, and Testable Framework for Gamma Oscillation Precision Final Publication Version

Gamma-band oscillations (30–100 Hz) exhibit timing precision that challenges strictly classical accounts. We present: (1) rigorous, step-by-step decoherence derivations, (2) empirically constrained parameters from microtubule electromagnetic oscillations and tryptophan superradiance, (3) a conservative quantum–classical coupling that modulates PING/ING precision, (4) complete experimental designs integrating NV-center quantum sensing with high-density electrophysiology; and (5) computational validation pipelines. We formalize the Perry Constant, predict measurable coherence–precision correlations (r > 0.3), quantum consistent temperature scaling (Tc ≈ 12 ± 3 K), resonance-selective EM effects (Q > 5 in 40–60 Hz), and pharmacological selectivity for microtubule-targeting drugs. To address scale mismatches, we elaborate on weak EM coupling to ion channels. Alternative classical explanations are discussed and distinguished. Full mathematical derivations, experimental protocols, statistical plans, and equipment specifications are in Supplementary Information.