Asymptotic Freedom and Quark Confinement as Geometric Theorems from Foam Torsion Topology

Two defining properties of QCD — asymptotic freedom and quark confinement — are proved as theorems from the foam geometry, requiring no dynamical calculation. Asymptotic Freedom Theorem: b₀^QCD=7>0 because dim(T₂g)×11 > 2×n_f (33>4, C_A=3, n_f=6) — a geometric inequality, not a perturbative result. Exact identity: b₀^QCD=7=λ_T₂g=C_A²−2. Confinement Theorem: fractional T₂g torsion winding numbers (quarks: ±1/3, ±2/3) cannot propagate as free asymptotic states because π₁(T₂g vacuum)=ℤ makes integer winding number a topological invariant. String tension σ=3k/2. Both results follow from torsion topology independently of coupling strength.