Current models of the dense matter Equation of State (EOS) rely heavily on phenomenological parametrizations, utilizing multiple free parameters fitted a posteriori to astrophysical observables. We present the Null-Vector Gravity (NVG) Vacuum Mass Fraction (VMF) model, an analytic framework that derives the dense matter EOS strictly from the non-perturbative QCD mass gap M⏓, ₀ = 859 MeV without any empirical parameter tuning. By treating the nucleon structural mass as an effective coupling to a macroscopic QCD vacuum condensate, we show that increasing baryon density triggers a predictable melting of this structural mass. This continuous phase transition naturally stiffens the EOS while strictly respecting causality (c²ₛ ≤ 0. 33). The model analytically predicts a maximum neutron star mass of Mₘax = 2. 25 M☉, a canonical radius of R₁. ₄ = 12. 0 km, a tidal deformability of Λ₁. ₄ = 470, and a post-merger peak gravitational wave frequency of fₚeak = 2730 Hz for a 1. 35-1. 35 M☉ binary. These zero-parameter predictions fall precisely within the stringent observational constraints established by GW170817, PSR J0030+0451, and PSR J0740+6620, providing a rigid, falsifiable benchmark for future high-precision multi-messenger astronomy.
Oleg Yuryevich Kirchenko (Mon,) studied this question.