Research question
What would be required to connect a finite gauge construction with a rigorous mass-gap statement?
SMM/DTT direction
The gauge programme offers finite-state and loop-based settings for examining constraints and dynamics. A finite-system gap or persistent pattern is not the same result as a continuum Yang–Mills mass-gap theorem.
What the construction must establish
State the gauge theory, limiting procedure, Hilbert space, dynamics, and spectral claim. Keep finite-model results distinct from the additional work needed for a continuum theorem.