Nonperturbative Quantization of Knot-Invariant Gauge Fields

Gauge configurations are parameterized by a discrete topological invariant \(I(K)\) that partitions the configuration space into disjoint sectors. This structure yields a block–diagonal operator algebra, a discrete energy spectrum with a mass gap scaling as \(\Delta E\sim1/I(K)\), and a unified description of confinement and glueball states without spontaneous symmetry breaking.