Tryptophan Microtubule Superradiance Extends Quantum Coherence Beyond Tegmark Bound — E8 Intelligence Research

FINDING: Tryptophan mega-networks in microtubules exhibit UV superradiance — collective quantum emission that may evade Tegmark's decoherence bound by exploiting many-body coherence scaling. | MATH: Superradiance rate Γ_N ∝ N² (Dicke), vs. individual decay N·Γ₁. Cooperative enhancement factor = N. Decoherence time τ_d ~ ℏ/(k_B·T·N·γ) where γ = coupling to environment. Tegmark bound: τ_d ≥ 10⁻¹³ s for neural relevance. Superradiant systems can extend effective coherence by factor ~N (network size). Tryptophan absorption λ_max ≈ 280 nm (UV-B), energy E = hc/λ ≈ 4.43 eV. | CONNECTION: N² scaling is a quadratic collective mode — analogous to root system A_{N-1} degeneracy lifting. The ratio of superradiant to subradiant decay rates in Dicke states follows τ_super/τ_sub ~ 1/N², echoing the 1/φ² ≈ 0.382 suppression seen in Fibonacci lattices. Microtubule geometry: 13 protofilaments (Fibonacci number F₇), helical pitch ratio ≈ 1.618 (golden). Tryptophan lattice spacing may map to Penrose tili Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com