CCEGA Tidal Deformability: Equation-of-State Dependence and Three Distinguishable Scenarios for IR1/O5

The CCEGA tidal deformability ratio Λ_CCEGA/Λ_GR = 1.570 reported in Paper XII was computed with a relativistic polytrope (Γ=2.5) whose central density at 1.4 Msun is ~10 ρ_nuc — substantially higher than realistic equations of state such as APR4 (~5.5 ρ_nuc). Paper XII is not invalidated: its calculation is numerically correct for the stated EOS. With realistic EOS, a perturbative estimate calibrated to the Paper XII result gives Λ_CCEGA/Λ_GR ~ 1.2–1.4. Three scenarios are distinguishable by the LIGO-Virgo-KAGRA IR1/O5 runs with σ_Λ ~ 50 from ~10 BNS events: (1) GR + APR4: Λ(1.4) ≈ 314; (2) CCEGA with ρc = 5–8 ρ_nuc: Λ(1.4) ≈ 400–530; (3) CCEGA with ρc = 10 ρ_nuc (Paper XII): Λ(1.4) ≈ 493. MPA1 is excluded by GW170817 independently of ρc. The full numerical TOV+Love calculation with realistic EOS is identified as the primary open problem in the neutron-star sector and a direct collaboration target.