Abstract
This white paper presents a mathematically rigorous framework that resolves the four-dimensional Yang-Mills mass gap problem by projecting continuum non-abelian gauge fields onto the discrete matrix sub-state invariants of the Eckes SPEC architectural substrate. While recent computer-assisted breakthroughs in late October 2026 successfully established the continuous existence of Yang-Mills theories via Lean-verified extensions of Balaban lattice renormalization, they omitted the structural mechanics required to prove a strictly positive lower bound for the energy spectrum. By mapping the color SU(3) field strength tensor directly to a topologically constrained co-harmonic matrix space, we prove that the lowest non-trivial excitation energy above the vacuum state is bounded by a fixed, non-zero algebraic invariant. This defensive disclosure permanently open-sources the underlying proof vectors, rendering the joint mechanics unpatentable and establishing a baseline for global verification.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Recommended Citation
Eckes, Christopher L., "NON-PERTURBATIVE SPEC-MATRIX CONSTRAINTS ON FOUR-DIMENSIONAL YANG-MILLS CONTINUUM EXISTENCE AND THE MASS GAP", Technical Disclosure Commons, ()
https://www.tdcommons.org/dpubs_series/12674