Finite-budget recursion and the inevitability of a mass gap in non-abelian gauge theory

An (unsubmitted) Yang-Mills structural argument for why a mass gap is inevitable given the self-interaction of non-abelian gauge groups using finite budget principles across recusive scales.

The mass gap emerges not as a dynamical accident but as a structural necessity: in a non–abelian gauge theory with locality and finite information capacity, infinite scale persistence of interacting excitations is forbidden.