Superradiant Tryptophan Networks: Dicke Scaling Modified by Disorder and Geometry — E8 Intelligence Research

FINDING: Microtubule tryptophan networks are being modeled as excitonic superradiant systems, with radiative coupling scaling as N² for coherent Dicke states, but realistic molecular dynamics show this scaling is modified by disorder and geometry. MATH: - Dicke superradiance: collective decay rate \(Γ_N = N Γ_1\) for intensity, but peak emission scales as \(N^2\) for fully coherent preparation. - Tryptophan network Hamiltonian (excitonic): \[ H = ∑_i ε_i |i i| + ∑i≠ j Jᵢⱼ (|i j| + |j i|) \] with \(Jᵢⱼ\) from transition dipole coupling: \[ Jᵢⱼ = {μ⃗_i · μ⃗_j - 3(μ⃗_i · r̂ᵢⱼ)(μ⃗_j · r̂ᵢⱼ)}{4πε_0 rᵢⱼ^3} \] - Superradiant scaling: for \(N\) emitters in a volume smaller than wavelength, decay rate \(∝ N\), but peak intensity \(∝ N^2\) (Dicke 1954). - The arXiv paper (2604.18604) explicitly tests th Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com