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 \(\Gamma_N = N \Gamma_1\) for intensity, but peak emission scales as \(N^2\) for fully coherent preparation. - Tryptophan network Hamiltonian (excitonic): \[ H = \sum_i \epsilon_i |i\rangle\langle i| + \sum_{i\neq j} J_{ij} (|i\rangle\langle j| + |j\rangle\langle i|) \] with \(J_{ij}\) from transition dipole coupling: \[ J_{ij} = \frac{\vec{\mu}_i \cdot \vec{\mu}_j - 3(\vec{\mu}_i \cdot \hat{r}_{ij})(\vec{\mu}_j \cdot \hat{r}_{ij})}{4\pi\epsilon_0 r_{ij}^3} \] - Superradiant scaling: for \(N\) emitters in a volume smaller than wavelength, decay rate \(\propto N\), but peak intensity \(\propto N^2\) (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