Quantum Coherence Boosts Photosynthetic Energy Transfer Efficiency Beyond Classical Limits — E8 Intelligence Research

FINDING: Photosynthesis exploits quantum coherence for near-perfect energy transfer efficiency, with evidence pointing to vibrationally-assisted transport in pigment-protein complexes. | MATH: The core model is the Fenna-Matthews-Olson (FMO) complex Hamiltonian with exciton coupling energies \(J_{ij}\) (~100 cm⁻¹) and site energies \(E_i\) (~12,000 cm⁻¹). Efficiency \(\eta \approx 0.95-0.99\) exceeds classical Förster resonance energy transfer (FRET) predictions by ~20-30%. Quantum coherence time \(\tau_c \sim 300-600\) fs at 77K, persisting to ~100 fs at physiological 300K. The Lindblad master equation \(\dot{\rho} = -\frac{i}{\hbar}[H,\rho] + \mathcal{L}_D(\rho)\) with dephasing rate \(\gamma_d \sim 10^{12}\) s⁻¹ captures the optimal regime where \(\gamma_d \approx J_{ij}/\hbar\) — the "quantum Goldilocks zone." | CONNECTION: The optimal dephasing-to-coupling ratio \(\gamma_d \hbar / J_{ij} \approx 1\) mirrors the golden ratio conjugate 0.618 in its reciprocal form (1/φ ≈ 0.618). Mor Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com