Щель масс в теории Янга–Миллса как спектральный эффект сферической геометрии: подход ДАС×ГСВ

Key Points

• The work aims to resolve the Millennium Prize problem concerning the mass gap in Yang–Mills theory through the framework of Dynamic Abstract Spheres with Spherical Time Hypothesis.
• Introduced the mass gap arising from the discrete spectrum of the Mangold operator on the three-sphere S³(R).
• Identified the Yang–Mills gauge field with a wall thickness field δ(xᵘ).
• Provided a quantitative estimate for the mass gap Δ_QCD ≈ 200–300 MeV using lattice QCD data.
• Showed that the mass gap Δ > 0 is a necessary consequence of the discrete spectrum on S³(R).
• Estimated the mass gap consistent with lattice QCD findings, providing Δ_QCD ≈ 200–300 MeV.
• Related results to broader concepts in quantum field theory, including vacuum stability and mass hierarchy.