FINDING: Photosynthetic energy transfer exhibits quantum coherence, enabling near-unity efficiency via delocalized exciton states and vibronic coupling. | MATH: Exciton Hamiltonian \( H = ∑_i ε_i |i i| + ∑i≠ j Vᵢⱼ(|i j| + |j i|) \); coherence lifetime \( τ_c ~ 100–600 \, fs \) (FMO complex); efficiency \( η > 0.95 \) at room temperature; quantum beat frequencies \( ω ~ 200–400 \, cm⁻¹ \) (vibronic modes). | CONNECTION: The exciton delocalization length \( L ~ 2–3 \) chromophores maps to a trimer geometry — the equilateral triangle (120° symmetry, \( C_3 \) point group). This is the same root system \( A_2 \) (hexagonal lattice) found in crystallography. The ratio of nearest-neighbor coupling to site energy disorder \( V/Δ ~ 1.618 \) (golden ratio) appears in optimal transport regimes in some theoretical models of FMO (though not universally confirmed — flag as tentative). | DEPT Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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