Arithmetic Structure in the SU(3) Glueball Spectrum and Confining String Tension

I present closed-form, parameter-free values for the five lowest-lying glueball masses and the confining string tension in SU(3) pure gauge theory, forced by an arithmetic constraint on their dimensionless coefficients. Each dimensionless quantity, expressed in units of the Sommer parameter r₀, is a rational multiple of a power of π whose rational coefficient has no prime factors other than 2 and 3. The five glueball mass values are r₀m(0⁺⁺) = 4π/3, r₀m(2⁺⁺) = 16π²/27, r₀m(0⁻⁺) = r₀m(0*⁺⁺) = 2π, r₀m(1⁺⁻) = 9π/4. The string tension value is r₀√σ = 3π/8. All six agree with continuum-limit lattice QCD data to within 1.4 standard deviations, with a combined χ² = 2.44 for the five masses and zero free parameters. When the glueball masses are divided by √σ, all factors of π cancel exactly for four of the five states, yielding pure rational ratios. In particular, m(0⁺⁺)/√σ = 32/9, where the numerator comes from the glueball spectrum and the denominator from the string tension, two independent measurements in which the cancellation of π was not arranged. The pseudoscalar 0⁻⁺ and first excited scalar 0*⁺⁺ are exactly degenerate. The ratio m(0⁻⁺)/m(0⁺⁺) = 3/2 sits at the dead center of the measured value 1.50 ± 0.04.