P29 v1.3: Maximum Neutron Star Mass in the CCEGA Framework – Numerical Verification with Read et al. (2009) Parametrization

V1 3 (April 11, 2026) The CCEGA framework, based on 5D brane-world geometry, incorporates a density-dependent gravitational coupling \( G_{\rm eff}(\rho) = G_N \exp(-\rho/\rho_c) \) with \( \rho_c = 7.4\,\rho_{\rm nuc} \).This version (v1.3, April 2026) presents the results of numerical integration of the modified Tolman–Oppenheimer–Volkoff equations using the official piecewise polytropic parametrization from Read et al. (2009) for the high-density equation of state (APR4, SLy, MPA1). The integration yields a maximum neutron star mass of \( M_{\rm max} = 4.26 \pm 0.04\,M_\odot \). V1.1 CCEGA predicts maximum neutron star mass M_max ≈ 2.33 ± 0.08 M_⊙ from stability conditions on the brane-world density-dependent coupling. PSR J0952−0607, the most massive known pulsar, has measured mass M = 2.35 ± 0.17 M_⊙ (Romani et al. 2025). The central value exceeds CCEGA prediction by ΔM = 0.02 M_⊙ = 20 MeV. Statistical analysis: combined uncertainty σ_combined = 0.188 M_⊙; discrepancy is 0.11σ, well within consistency. CCEGA is not yet falsified. However, the framework is acutely vulnerable to improved precision. Future measurements (NICER, pulsar timing arrays) can narrow uncertainty to σ < 0.03 M_⊙ by 2028–2030. Critical falsification threshold: if M(J0952) ≥ 2.35 M_⊙ at σ < 0.03 M_⊙, CCEGA's maximum mass mechanism is ruled out definitively at 3σ confidence. This represents the most direct, parameter-free falsifiable prediction of CCEGA: a single pulsar mass measurement can decide the framework. Unlike tidal deformability (which has parameter freedom via ρ_c), M_max is a direct consequence of brane geometry with no internal adjustment mechanism.