This manuscript develops a reduction-and-closure approach to the SU(2) Yang-Mills mass-gap in four dimensions, indicating implications for global theorems.
Key Points
The research aims to address the Yang-Mills mass-gap problem within the four-dimensional SU(2) framework through a structured reduction-and-closure approach.
Developed the Osterwalder–Schrader (OS) window for mass-gap transfer.
Applied analytic and geometric modules for model feasibility and topology density.
Established the shell-side theorem on a fixed canonical chart.
Proved the lower bound for the mass gap based on geometric parameters.
Demonstrated the key role of shell-side closure in ensuring positive density conditions.
Summarized the representative local closure score for the canonical SU(2) family.