Microtubule Tryptophan Networks: Quantum Coherence and the Tegmark Bound Debate — E8 Intelligence Research

FINDING: Microtubule tryptophan networks are proposed as room-temperature quantum coherent systems, with the central dispute being whether biological decoherence times exceed the Tegmark bound. | MATH: Tegmark bound τ_dec ≈ ℏ/(k_B T) × (Δx²/λ_dB²) scaling; at T=310 K, ℏ/k_BT ≈ 2.5×10⁻¹⁴ s; Tegmark's original estimate for neural microtubules gave τ_dec ~ 10⁻¹³–10⁻²⁰ s, while Fröhlich/Penrose-Hameroff and recent superradiance models (Babcock et al. 2024) argue for τ_dec ~ 10⁻⁹–10⁻⁶ s via collective shielding, superradiant enhancement (N² scaling of emission rate), and decoherence-free subspaces. | CONNECTION: Tryptophan indole rings form a quasi-1D aromatic lattice with inter-ring spacing ~0.35–0.5 nm; the 24-tubulin protofilament geometry (13 protofilaments, B-lattice) exhibits helical symmetry with pitch ratios approaching φ-adjacent values (13/8 Fibonacci), and the 3-fold/13-fold lattice symmetry is consistent with crystallographic space group P2₁2₁2₁-type packing. | DEPTH: 7 FINDING Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com