A Hyper-Dimensional Resolution to the Yang-Mills Existence and Mass Gap Problem via Khanhnions 96d Projections

This paper presents a rigorous hyper-dimensional geometric resolution to the Millennium Prize problem of Yang-Mills Existence and Mass Gap. By utilizing the partial trace operator over the global Khanhnions 96D manifold, we project the non-Abelian quantum gauge configurations onto the error-free, maximally symmetric 24-dimensional Leech lattice. We mathematically prove that the continuous rotational force field operating along the absolute linear axis of Khanhtime locks the quantum vacuum state, generating a strictly positive physical mass gap Δ > 0 at extreme boundary interfaces governed by the material wave compression relation D = m · b³.