The Yang–Mills Mass Gap as a Difficulty Transition in the PDE Tensor Algebra

We analyze the $SU(N)$ Yang–Mills equations through the PDE Tensor Algebra framework, representing them as a triple $(D, C, P)$ of dissipation, coupling, and constraint tensors. Classical pure Yang–Mills is a $(0, C, P)$ system with zero dissipation and structurally infinite difficulty $\mathcal{D} = \|C\|_F / \lambda_{\min}(D) = \infty$.