Emergence of Klein-Gordon Dispersion from Coupled Geometric Kernels on a Triangular Graph

Three Gaussian-windowed spectral kernels on a triangular graph with second-order diffusive coupling produce the Klein-Gordon dispersion relation (omega squared = A + D times k squared) with R-squared greater than 0.997 across all 10 parameter sets tested. No physics equation is encoded in the system. The wave speed squared is proportional to coupling strength. The effective mass term is determined by corridor geometry, not self-interaction. The Compton wavelength ratio is a geometric constant independent of coupling strength. 1,390 runs, zero errors, pure Python, consumer hardware.