Numerical Documentation of the LRAE Symmetron Parameter Study v1.5 – Detailed Version

This release documents the numerical test of the Theory of the Locally Relative Expansion Unit (LRAE) in its Symmetron-like realization.The LRAE is a theoretical framework introducing a local, density-dependent scalar scale $\epsilon(x)$ that couples to gravitation and local measures of expansion. This enables scalar-field screening: at high densities, symmetry is restored and local effects are dynamically suppressed. The purpose of this numerical work is to test whether such a realization of the LRAE is consistent with current atomic clock constraints and solar-system PPN limits. The theoretical foundation is described in"Theory of the Locally Relative Expansion Unit (LRAE)" [DOI: 10.5281/zenodo.16942057].An extended presentation and universal model framework is available in"LRAE Compendium: The Universal Structural Cycle" [DOI: 10.5281/zenodo.17097197]. This detailed version v1.5 includes: exact model equations (effective potential, field equation) discretization and solver methods (finite differences, Newton relaxation) pseudocode and implementation details convergence and sensitivity tests (grid refinement, parameter scans) SI normalization and correction of the published parameter grid reproducibility guidelines (file naming, versioning, test strategy) The accompanying ZIP archive contains: parameter_scan_results_v1_4.csv (original, Mpc-normalization) parameter_scan_results_v1_4_corrected.csv (SI-corrected drift column) Python scripts: solve_bvp_fd.py, make_figures_v15.py publication figures (figures/) this detailed documentation as PDFAuthorship: Andreas Jung In collaboration with: ChatGPT (OpenAI) Lizenz: Creative Commons Attribution Non Commercial No Derivatives 4.0 International (CC BY-NC-ND 4.0) Published: September 2025Kontakt: [email protected]