Zhu-Liang Inevitability of Yang–Mills Existence and Mass Gap

Key Points

• The paper aims to prove the inevitability of Yang–Mills existence and the mass gap through a causal network framework.
• Established a Yang–Mills recursive original network.
• Defined a network entropy functional measuring various entropy components.
• Applied the metabolic conservation principle to demonstrate total entropy minimization.
• Explored the ontological status of the Millennium Prize Problem within a meta-theoretical context.
• Confirmed the strict existence of Yang–Mills theory and a positive mass gap.
• Established the inevitability at multiple levels within the recursive causal network framework.