GUE Universality in Sinc-Modulated Hermitian Networks

We construct a Hermitian random matrix whose entries are modulated by sinc functions arising from Kaluza-Klein overlap integrals on a compactified circle S^1. By introducing complex phases (symmetry breaking) and summing over stochastic radius parameters, we demonstrate numerically that the system exhibits local GUE universality. The model shares the universality class of the Riemann zeta zeros (Montgomery-Odlyzko law) but displays a distinct global non-Wigner spectral density. Our results show that GUE statistics can emerge from purely geometric Kaluza-Klein constraints without explicit number-theoretic input. Mail: moritz.heinelt@googlemail.com