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 ₄₅₅ () = GN (-/c) \) with \ (c = 7. 4\, ₍ₔ₂ \). 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 ₌₀ₗ = 4. 26 0. 04\, M_ \). V1. 1 CCEGA predicts maximum neutron star mass Mₘax ≈ 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 σcombined = 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 ρc), Mₘax is a direct consequence of brane geometry with no internal adjustment mechanism.