A CMI-Compatible Framework for the 4D Yang–Mills Mass Gap Problem

Weprovide arigorous, CMI-compatible solution framework for the four-dimensional Yang–Mills mass gap problem. The construction proceeds via Euclidean measure formulation satisfying Osterwalder–Schrader axioms, Hilbert space reconstruction,definition of renormalized field operators, confinement operator construction, uniform spectral inequality, infrared regularization, and finally extraction of the mass gap via spectral theorem.