Baryon Mass Spectrum from Topological String Configurations: Y-junction vs Triangular Models

We calculate baryon masses within the geometric framework of topological phase transitions usingtwo distinct configurations: Y-junction (meson-like strings) and triangular loop (knotted vortex).For nucleons, the Y-model achieves 0.3% accuracy with mp = 935 MeV (exp 938 MeV), while the∆-model better describes resonances (m∆ = 1228 MeV vs exp 1232 MeV). Key innovation: hybridmass formula with mixing angle θ resolving configuration duality.Quantum simulations confirm both geometries with 92% fidelity.