Sovereign Scaling Resonance (SSR): MCMC chains and analysis code

Description This dataset contains the complete numerical outputs and supporting files for the study "Sovereign Scaling Resonance (SSR): an Oscillatory Dark Energy Extension of ΛCDM with Cosmological Constraints and Laboratory Falsifiability." It provides a static, citable record of all MCMC chains, consistency checks, and the final manuscript. Contents: SSR MCMC chains: ssr_v5_1.txt through ssr_v5_4.txt (259,870 accepted steps across four chains, Gelman–Rubin convergence statistic R−1≈0.02). These represent the primary cosmological constraint results for the SSR model. ΛCDM MCMC chains: lcdm_full_1.txt through lcdm_full_4.txt (37,722 accepted steps, R−1=0.009). These serve as the baseline ΛCDM comparison. ISW test outputs (v1, CPL proxy): isw_test_results.txt and isw_test_cl.npz, generated from CAMB runs with a CPL approximation to SSR w(z), giving 0.844% RMS over ℓ=2–30. Retained for reproducibility. ISW test outputs (v2, exact): isw_test_results_exact.txt, generated from CAMB with the exact tabulated SSR w(a) = −1 + A·sin(ω·ln(1/a) + φ) passed directly via the DarkEnergyPPF interface. Result: 0.516% RMS over ℓ=2–30, maximum 1.427% at ℓ=2. This supersedes the v1 CPL proxy result. Purpose: The archive ensures transparency and reproducibility of the SSR analysis pipeline. It allows independent verification of the MCMC chains, posterior analyses, and ISW consistency tests, and provides a permanent reference for future work on oscillatory dark energy and laboratory falsifiability. Update (May 2026): ISW consistency test updated to exact CAMB computation via tabulated SSR w(a) interface. The exact result (0.516% RMS) is more favourable than the CPL proxy (0.844% RMS), confirming that SSR's CMB modification is a factor of ~10–19 below Planck's detection threshold at low ℓ. Both results are retained in the archive for full reproducibility.