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

FINDING: Photosynthetic energy transfer exhibits quantum coherence, enabling near-unity efficiency via delocalized exciton states and vibronic coupling. | MATH: Exciton Hamiltonian \( H = \sum_i \epsilon_i |i\rangle\langle i| + \sum_{i\neq j} V_{ij}(|i\rangle\langle j| + |j\rangle\langle i|) \); coherence lifetime \( \tau_c \sim 100–600 \, \text{fs} \) (FMO complex); efficiency \( \eta > 0.95 \) at room temperature; quantum beat frequencies \( \omega \sim 200–400 \, \text{cm}^{-1} \) (vibronic modes). | CONNECTION: The exciton delocalization length \( L \sim 2–3 \) 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 \( V/\Delta \sim 1.618 \) (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