Lindblad-Bounded Fröhlich Coherence in Microtubules: 10^11 Hz Thermal Decoherence as Falsification Threshold — E8 Intelligence Research

FINDING: Fröhlich condensate coherence in microtubules is bounded by quantum decoherence rates that must be computed via Lindblad master equation; single-tubulin resonance has been experimentally observed via tunneling current, but the 10^11 Hz thermal decoherence channel remains the critical falsification threshold. | MATH: Lindblad: dρ/dt = -i/ℏ[H,ρ] + Σ_k (L_k ρ L_k† - ½{L_k†L_k, ρ}); Fröhlich condensate condition: energy pumping rate > thermal dissipation rate, requiring k_B T << ℏω where ω ≈ 10^11 Hz → ℏω ≈ 6.6×10^-23 J vs k_B T ≈ 4.1×10^-21 J at 300K → ratio ℏω/k_BT ≈ 0.016, i.e., thermal energy exceeds quantum energy by ~60×. Decoherence time τ_d ~ ℏ/(k_B T) ≈ 2.5×10^-14 s at physiological temperature. | CONNECTION: The 60× ratio is numerically suggestive of base-60 scaling but is a dimensional coincidence of ℏ, k_B, T, and ω — not a geometric harmony. No evidence for φ-ratios (0.618, 1.618) or crystallographic root system symmetries in the decoherence channel. Tubulin lattice: Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com