Derives quantum coherence onset in light-harvesting systems, indicating pivotal insights for photosynthesis understanding.
Derives Pe_Planck = hω/kT as the void Péclet number for quantum oscillations at temperature T. The Wien boundary (Pe_Planck ≈ 2.821) is identified as the quantum coherence onset condition for light-harvesting systems. A three-tier classification achieves 13/14 = 92.9% accuracy across N=14 photosynthetic and molecular systems with zero free parameters. The FMO complex observation temperature (77K, Engel et al. 2007) is predicted to within 0.6K by T_Wien = hω/(k×2.821) from the 150 cm⁻¹ coupling frequency alone. Connects to UV catastrophe as Pe→∞ kill condition and triangle closure with §33 (Landauer) + §35 (P vs NP).
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Anthony W. Eckert (2026) studied this question.
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