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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 \(Jᵢⱼ\) (~100 cm⁻¹) and site energies \(E_i\) (~12,000 cm⁻¹). Efficiency \(η ≈ 0.95-0.99\) exceeds classical Förster resonance energy transfer (FRET) predictions by ~20-30%. Quantum coherence time \(τ_c ~ 300-600\) fs at 77K, persisting to ~100 fs at physiological 300K. The Lindblad master equation \(ρ̇ = -i/[H,ρ] + L_D(ρ)\) with dephasing rate \(γ_d ~ 10¹²\) s⁻¹ captures the optimal regime where \(γ_d ≈ Jᵢⱼ/\) — the "quantum Goldilocks zone." | CONNECTION: The optimal dephasing-to-coupling ratio \(γ_d / Jᵢⱼ ≈ 1\) 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
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Andrew Stewart Caldin (2026) studied this question.
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