Numerical codes and datasets for space–time kernel reconstruction and emergent d'Alembertian dynamics

This repository contains the numerical codes and datasets used in the analysis of the associated manuscript.It includes scripts for the reconstruction of space–time kernels from correlation data, isotropicHankel–Fourier transforms, operator inversion and regularization, extraction of local operatorcoefficients, and empirical dispersion relations. The repository provides raw and processed data, intermediate numerical results, and fully documentedanalysis scripts enabling full reproducibility of all figures and results reported in the main textand Supplementary Information.