Descripción: We propose the gradient brake: a density-dependent mechanism by which the effective coupling Gₑff (ρ) = G e^−ρ/ρc naturally discriminates between soft and stiff equations of state in neutron star tidal response. The mechanism is physically motivated from brane back-reaction geometry but not yet rigorously verified numerically. This paper: 1. Derives β (ρ) = dGₑff/dρ and explains its physical role as an EOS filter 2. Shows qualitatively why APR4/SLy survive and MPA1 is excluded 3. Explicitly lists the open calculations needed for verification 4. Provides a roadmap: TOV solver + perturbation theory + Love number Status: OPEN Descripción: We propose the gradient brake: a density-dependent mechanism by which the effective coupling Gₑff (ρ) = G e^−ρ/ρc naturally discriminates between soft and stiff equations of state in neutron star tidal response. The mechanism is physically motivated from brane back-reaction geometry but not yet rigorously verified numerically. This paper: 1. Derives β (ρ) = dGₑff/dρ and explains its physical role as an EOS filter2. Shows qualitatively why APR4/SLy survive and MPA1 is excluded3. Explicitly lists the open calculations needed for verification4. Provides a roadmap: TOV solver + perturbation theory + Love number Status: OPEN PROBLEM (hypothesis, not yet validated) Required: 2-3 weeks of numerical work to verify or falsifyTimeline: Verification possible before 2028 observations (hypothesis, not yet validated) Required: 2-3 weeks of numerical work to verify or falsify Timeline: Verification possible before 2028 observations
Marc López Sánchez (Sat,) studied this question.