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/dρc 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 Mₘax = 1. 9893 ± 0. 0012 M_☉ (26/30 convergences) - CCEGA Mₘax = 4. 3493 ± 0. 0085 M_☉ (30/30 convergences) - Enhancement factor: 2. 19× (118. 6% increase) - GR stability: up to ρc = 5. 15 × ρₙuc- CCEGA stability: up to ρc = 5. 76 × ρₙuc- Theory vs numerical deviation: 2. 1% FILES INCLUDED: 1. GRᵥsCCEGACOMPLETEᵥ1₁. py (executable Python code) 2. CCEGAPARTVCODERESULTSᵥ1₁COMPLETE. 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 Gₑff (ρ) = GN/ (1 + I (ρ) ) where I (ρ) = exp (-ρ/ρc). 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 Mₘax occurs where dM/dρc = 0 (Bardeen criterion). CCEGA allows larger stable density range (5. 76 vs 5. 15 × ρₙuc), 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