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

The CCEGA tidal deformability ratio ΛCCEGA/ΛGR = 1. 570 reported in Paper XII was computed with a relativistic polytrope (Γ=2. 5) whose central density at 1. 4 Msun is ~10 ρₙuc — substantially higher than realistic equations of state such as APR4 (~5. 5 ρₙuc). 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 ΛCCEGA/ΛGR ~ 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 ρₙuc: Λ (1. 4) ≈ 400–530; (3) CCEGA with ρc = 10 ρₙuc (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.