
This repository provides the Python source code used to generate Fig. 1 of the manuscript “Testing Information-Gauge Entanglement Couplings with Hydrogenic Spectroscopy.” The figure presents a benchmark sensitivity map for information-gauge couplings in the ((m_\Lambda,g_\Lambda)) plane. The plotted curves use the illustrative conversion[\epsilon_{\rm IG}=\left(\frac{g_\Lambda E_0}{m_\Lambda}\right)^2,]with (E_0=h\nu_{21}=5.87\times10^{-6},\mathrm{eV}), corresponding to the hydrogen 21-cm hyperfine energy scale. The normalization is fixed to the illustrative benchmark (C_O\Delta I=1). Therefore, the curves should be interpreted as benchmark reaches or sensitivity mappings, not as model-independent exclusions. The script includes benchmark inputs for hydrogen 21-cm spectroscopy, atomic neutrality, muonium hyperfine spectroscopy, positronium hyperfine spectroscopy, and projected hydrogen-maser/Ramsey and leptonic-atom improvements. It also marks the (m_\Lambda\lesssim E_0) nonlocal regime and the (g_\Lambda>1) nonperturbative guide region. Atomic neutrality is explicitly indicated as applying only to charge-screening realizations. No experimental data were generated in this work. All numerical values used to reproduce the plotted curves are included directly in the Python script and are taken from the benchmark inputs discussed in the manuscript and Supplemental Material. Files included Fig1_constraints.py: Python script for generating Fig. 1. fig1_constraints.pdf: Vector PDF output generated by the script. fig1_constraints.png: High-resolution PNG output generated by the script. NotesThe code uses (C_O\Delta I=1) as an illustrative normalization. Model-specific bounds require replacing this factor with the appropriate IG atomic matrix element and comparing with residuals relative to the Standard Model prediction. Keywordsinformation gauge theory; IG-RUEQFT; hydrogen spectroscopy; 21-cm line; muonium; positronium; atomic neutrality; benchmark sensitivity; Stueckelberg field; quantum information; entanglement; precision spectroscopy
nformation gauge theory; IG-RUEQFT; hydrogen spectroscopy; 21-cm line; muonium; positronium; atomic neutrality; benchmark sensitivity; Stueckelberg field; quantum information; entanglement; precision spectroscopy
nformation gauge theory; IG-RUEQFT; hydrogen spectroscopy; 21-cm line; muonium; positronium; atomic neutrality; benchmark sensitivity; Stueckelberg field; quantum information; entanglement; precision spectroscopy
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 0 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
