Paper 106: Constructive Spectrum of Coherence–Constrained Yang–Mills From Mass Gap to Glueball JP C

Building on Papers 102 to 105, which established a finite volume mass gap, renormalization group stability of the smallness parameter, and preservation of the Yang Mills beta function, this work develops a spectroscopy workflow for the coherence constrained lattice gauge model. We define gauge invariant operator bases for the lowest glueball channels 0 plus plus, 2 plus plus, and 0 minus plus using Wilson loop composites augmented by triadic closure projectors. Correlation matrices are constructed, and principal correlators are extracted via a variational generalized eigenvalue procedure consistent with reflection positivity. Effective mass plateaus yield spectral estimates with finite volume and discretization controls inherited from the cluster and Osterwalder Seiler framework. We provide an explicit mapping from cubic group irreducible representations A1g, Eg, T2g, and A1u to continuum quantum numbers, along with a practical operator set for each channel and a turnkey numerical workflow. This work demonstrates a computational, reflection positivity compatible spectroscopy inspired by Papers 102 to 105. We present the results as a constructive numerical demonstration, not as a completed proof of the Yang Mills gap.