Quantum Coherence Drives Near-Perfect Photosynthetic Energy Transfer — E8 Intelligence Research

FINDING: Photosynthetic light-harvesting complexes exploit quantum coherence (electronic/vibrational superposition) to achieve near-unity energy transfer efficiency, with evidence from 2D electronic spectroscopy showing oscillatory quantum beats. | MATH: Efficiency η ≈ 0.95–1.0 (near-perfect); coherence time τ_c ~ 300–600 fs at physiological temperatures (300 K); energy transfer rate k_ET ∝ |V_coupling|²/ħ² × (spectral overlap integral); exciton delocalization length N_ex ~ 2–4 chromophores; quantum yield Φ ≈ 0.95–0.98 in Photosystem II. No closed-form equation yet — the system is modeled via Frenkel exciton Hamiltonian: H = Σ εᵢ|i⟩⟨i| + Σ Jᵢⱼ(|i⟩⟨j| + |j⟩⟨i|), with Jᵢⱼ (dipole-dipole coupling) ~ 10–100 cm⁻¹. | CONNECTION: The Fenna-Matthews-Olson (FMO) complex exhibits a 7-site (bacteriochlorophyll) ring structure with near-C₇ rotational symmetry — a crystallographic point group. The energy gap ratios between exciton levels in FMO show approximate spacing ratios ~1.618 (golden ratio) Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com