Part V 1.1 TOV Integration Code: GR vs CCEGA Numerical Comparison

Complete Python implementation of TOV equations for General Relativity baseline and CCEGA (Information-Driven Gravity) framework with full stability analysis via Bardeen criterion. Supplementary material for: López Sánchez, M. (2026). CCEGA: Information-Driven Gravity and the Mass Gap Problem. Zenodo. doi:10.5281/zenodo.19539744 VERSION 1.1:- Complete Bardeen stability analysis (dM/dρ_c criterion)- Stability branch identification (stable vs unstable regions)- Enhanced visualization (4 plots: M-R, dM/dρ, convergence, interpretation)- Full physical interpretation of stability results NUMERICAL RESULTS (v1.1 verified):- GR M_max = 1.9893 ± 0.0012 M_☉ (26/30 convergences)- CCEGA M_max = 4.3493 ± 0.0085 M_☉ (30/30 convergences)- Enhancement factor: 2.19× (118.6% increase)- GR stability: up to ρ_c = 5.15 × ρ_nuc- CCEGA stability: up to ρ_c = 5.76 × ρ_nuc- Theory vs numerical deviation: 2.1% FILES INCLUDED:1. GR_vs_CCEGA_COMPLETE_v1_1.py (executable Python code)2. CCEGA_PART_V_CODE_RESULTS_v1_1_COMPLETE.txt (results + analysis) KEY FEATURES:- APR4 equation of state (piecewise polytropic, Read et al. 2009)- GR TOV equations (4 variables)- CCEGA TOV equations (5 variables with information field)- RK45 numerical integration (Dormand-Prince 5th order)- Bardeen stability analysis- Comparative M-R diagrams- Four-panel visualization PHYSICAL FRAMEWORK:CCEGA modifies Einstein equations via G_eff(ρ) = G_N/(1 + I(ρ)) where I(ρ) = exp(-ρ/ρ_c). This reduces gravity at supranuclear densities, allowing larger stable masses via curvature braking. REPRODUCIBILITY:- All results fully reproducible from code- APR4 EOS parameters hardcoded (Read et al. 2009)- No external data files required- Tolerances: rtol=1e-5, atol=1e-11 USAGE:Option A (Google Colab): Copy code into cell, execute, 2-3 minutes runtimeOption B (Local): pip install numpy scipy matplotlib, then python code REQUIREMENTS:Python 3.8+ with numpy, scipy, matplotlib STABILITY INTERPRETATION:Maximum mass M_max occurs where dM/dρ_c = 0 (Bardeen criterion). CCEGA allows larger stable density range (5.76 vs 5.15 × ρ_nuc), explaining resolution of mass gap problem. FALSIFICATION CRITERIA:(1) NICER 2026-2029: If M > 4.35 M_☉ → falsified(2) Einstein Telescope 2035: No echoes at τ ≈ 14 ms → falsified(3) EM surveys: Accretion in mass-gap objects → falsified VERSION: 1.1AUTHOR: Marc López SánchezORCID: 0009-0005-6356-3702DATE: April 12, 2026