Numerical Examination of LRAE Symmetron Parameters Against Atomic Clock and Solar System Constraints

This record documents the numerical test of the Local Relative Expansion Unit (LRAE) realized as a Symmetron-like scalar with density-dependent screening.Version 1.5 provides: a complete parameter grid computation $(\mu^{-1},\lambda)$ with stationary field profiles, extraction of $\Delta(\hat\epsilon^2)$, clock-drift estimates, and $\beta_{\max}$ contour maps, Thin-Shell diagnostics and PPN (Cassini) estimates, explicit SI clarification of the published grid data (division by $(1,\mathrm{Mpc})^2$ for comparison with atomic clocks), reference to a separate Detailed Version containing full numerical documentation (discretization, pseudocode, solver parameters, convergence tests). Included ZIP archive:\texttt{LRAE_Symmetron_NumericalTest_v1_5_EN.zip}contains: \texttt{parameter_scan_results_v1_4.csv} (original, Mpc-normed), \texttt{parameter_scan_results_v1_4_corrected.csv} (SI-corrected), Python code: \texttt{solve_bvp_fd.py}, \texttt{make_figures_v15.py}, publication figures (\texttt{figures/}), Detailed Version (\emph{Numerical Documentation LRAE v1.5 -- Detailed Version}) as PDF. License:CC BY-NC-ND 4.0 Authorship: 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]