P-6: The Geometric Origin of Strong Interaction — From R_κ = 440 to the Unification of Nuclear Forces

Abstract: The strong interaction is the strongest of the four fundamental forces, governing quarks and gluons at sub-femtometer scales and manifesting as the nuclear force between nucleons. Yet its low-energy behavior remains difficult to calculate from first principles, and high-precision nuclear potentials typically contain dozens of adjustable parameters. Starting from Space Ontology, we demonstrate that the universal constant of nonlinear response R_κ = 440 ± 20 is a necessary consequence of soliton intrinsic geometry, independently verified in both the tensor force (2.53-fold amplification) and the spin-orbit force (7.0 ± 0.9 vs. theoretical 7.48). Building upon this, we construct the unified SVO-50 potential for the nucleon-nucleon interaction, whose entire set of meson-nucleon coupling constants is derived from the first-principles decomposition of the nucleon mass, depending only on a single free parameter κ = 0.017. This potential reproduces NN scattering phase shifts and the deuteron binding energy with high precision (deviation < 0.3 keV), and extends to hyperon interactions (⁵_ΛHe binding energy deviation < 1%) and neutron star physics, predicting a maximum mass of 2.30 ± 0.03 M_⊙ compatible with PSR J0740+6620. We note that the currently heaviest known neutron star, PSR J0952-0607 (2.35 ± 0.07 M_⊙), lies exactly at the upper limit of our theoretical maximum, making it the most discriminating astrophysical test of the theory. We further derive a geometric expression for the quark confinement string tension, providing a unified geometric framework for understanding both the short-range and long-range behavior of the strong interaction. This paper is the sixth in the first series (17 papers total) of Space Ontology.