Quantum Beats in Microtubules: From Cavity QED to Brain Simulations — E8 Intelligence Research

FINDING: Microtubule quantum coherence is experimentally supported via quantum beats in cavity QED, but the brain-specific claims remain simulation-based; the core math is harmonic oscillation and decoherence rates, not yet a unified consciousness equation. MATH: Quantum beat frequency \(ωbeat = |ω_1 - ω_2|\) from ground-state superposition; decoherence rate \(Γ ∝ γRayleigh\) (scattering); two-mode cavity QED Hamiltonian \(H = ω_1 a^ a + ω_2 b^ b + g(a^ b + b^ a)\); microtubule excitation propagation modeled as a damped harmonic chain with dispersion relation \(ω(k) = ω_0 + 2Jcos(ka)\) (nearest-neighbor coupling \(J\), lattice spacing \(a ≈ 8\,nm\) tubulin dimer). CONNECTION: The tubulin dimer lattice is a hexagonal/helical crystal — 13 protofilaments, 3-start helix — giving a screw symmetry with pitch angle \(θ = 2π × (3/13) ≈ 83.08^∘\). This is Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com