Quantum Coherence in Microtubules via Tryptophan Superradiance — E8 Intelligence Research

FINDING: Microtubule quantum coherence is proposed via tryptophan mega-network superradiance, with evidence from UV excitation simulations and cavity-QED ground-state coherence control. MATH: Superradiance scaling: \( Γₛᵤₚₑᵣ ∝ N · Γsingle \) (for \(N\) coherently coupled tryptophan chromophores); excitation energy ~4.5–5.5 eV (UV, ~280 nm); coherence lifetime \( τ ~ 10⁻¹³–10⁻¹²\,s\) (femtosecond–picosecond) in simulations; cavity-QED ground-state coherence via second-order correlation \( g⁽²⁾(τ) \) showing quantum beats at frequency \( ωbeat = Δ E/ \). CONNECTION: Tryptophan arrays in microtubules form helical lattices with pitch ~12 nm and 13 protofilaments — a 13-fold symmetry (not crystallographic, but quasi-crystalline Fibonacci-like: 13 is Fibonacci). The helix pitch-to-radius ratio approximates \( 2π × 0.618 \) (golden angle ~137.5° per tubulin dimer step), linking to 0.618. Super Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com