Neutron Star Radius from Three-Mode Active Balance at the Schwarzschild Lower-Edge

Paper RNS presents a Light Frame Cadence Theory (LFCT) structural reading of the canonical-mass neutron-star radius. The central identification is

R_NS = D(0) × r_s = 3 r_s,

where r_s = 2GM/c² is the Schwarzschild radius and D(0) = 3 is the closure-rank cap at minimum closure structure from the corpus-banked closure-rank function D(m) = 2m + 3. The derivation is based on the three-mode active-balance configuration at the Schwarzschild lower-edge, where TD compression, TS survival, and TR-routing transport are simultaneously active.

For the canonical 1.4 solar-mass neutron star, the structural prediction gives R_NS = 12.41 km, landing inside the current combined NICER and gravitational-wave observational band centered near R_1.4 = 12.1 ± 0.5 km. The derivation introduces no dense-matter equation-of-state parameters, no nuclear-matter calibration constants, and no fitted coefficients. The paper explicitly distinguishes the canonical-mass structural closure from the still-open mass-scaling problem, documenting both the successful canonical-mass landing and the failure of naive linear scaling at higher neutron-star masses.

The work serves as LFCT's compact-object structural identification of the canonical neutron-star radius and connects the result to the broader closure-rank scaffold, Schwarzschild lower-edge architecture, Hawking-temperature carrier family, and cross-domain compact-object program developed in the LFIS series and Core trilogy.