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FINDING: Search returned no primary literature on Fröhlich condensate microtubules; results are decoherence pedagogy and one tubulin tunneling-current visualization. | MATH: Fröhlich condensate criterion requires pumping rate > thermal dissipation: dN_k/dt = s_k − γ_k(N_k − N_k^T) with condensation when s_k/γ_k exceeds Bose-Einstein threshold; decoherence rate Γ ≈ (Δx)²/ħ² · S(ω) (Lindblad form). Tubulin conformational superposition lifetime τ_d ~ ħ/(k_B T) at 310 K ≈ 2.5×10⁻¹⁴ s, vs claimed 10¹¹ Hz (τ ~ 10⁻¹¹ s) — a 3-order-of-magnitude gap. | CONNECTION: No geometric-harmony ratio (0.382/0.618/1.618) is derivable from the retrieved sources; no base-60 or crystallographic lattice symmetry appears in the evidence. | DEPTH: 2 Precise assessment of what the evidence actually supports: 1. **Key mathematical insight**: None new. The retrieved items are (a) general decoherence tutorials, (b) a Lindblad master-equation treatment of spontaneous emission, (c) a single-tubulin tunneling-curre 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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