Universal Tunneling Scaling: Synthetic Datasets, Per-Figure CSVs, Regression Outputs, and Supplementary Information

This repository contains supporting datasets, scripts, and Supplementary Information for the manuscript “A Universal Nonlinear Scaling Law for Quantum Tunneling Across Length Scales” (submitted to Nature Communications). The files illustrate and reproduce the proposed nonlinear tunneling scaling law, ln⁡R∝−M,\ln \mathcal{R} \propto -\sqrt{M},lnR∝−M, spanning molecules, cold atoms, and Josephson circuits. Contents: Synthetic datasets: microscopic_tunneling_results.csv (molecular double-well) cold_atoms_BJJ_synthetic.csv (cold atoms in optical barriers) jj_tunneling_results.csv (Josephson circuits) Per-figure CSVs (main text + SI):fig2_molecules_lnDeltaE_vs_sqrtmu.csv,fig3_coldatoms_lnGamma_vs_sqrtN_exp.csv,fig4_jj_lnGamma_vs_sqrtMeff_exp.csv,fig5_master_lnR_vs_sqrtM.csv,and CSVs for SI figures S1–S5. Regression outputs:fit_summary.csv, fit_summary.txt (slopes, intercepts, $R^2$ values). Plotting script:plotting_example.py (basic Python/Matplotlib script to regenerate key plots). Supplementary Information:SI.tex — LaTeX source of the Supplementary Information. Metadata:ZENODO_METADATA.txt — text description for reproducibility.