FINDING: Microtubule quantum coherence experiments (Penrose-Hameroff Orch-OR framework) probe whether neural tubulin lattices sustain quantum states long enough to influence consciousness — evidence remains contested, with decoherence timescales the central constraint. MATH: - Decoherence time: τ_D ≈ ℏ/(k_B T · λ² · N) where λ is coupling strength, N is number of coupled degrees of freedom. At physiological T ≈ 310 K, naive estimates give τ_D ~ 10⁻¹³–10⁻²⁰ s — far shorter than neural timescales (~10⁻³ s). - Fröhlich condensation condition: energy pumping rate must exceed thermal dissipation; coherent polariton modes below a critical temperature T_c in a driven lattice. - Tubulin lattice geometry: 13 protofilaments per microtubule (A-form: 13_3 helix; B-form: 13_2), each protofilament a linear chain of αβ-tubulin heterodimers (~8 nm periodicity). - Anesthetic binding correlation: Hameroff's proposed scaling of anesthetic potency with tubulin electron delocalization — no rigorous quantu Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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