Chapter 30: Confinement as Address Irresolvability

Confinement—the fact that isolated quarks and gluons are never observed—is conventionally treated as a dynamical puzzle: the colour potential grows linearly, trapping quarks inside hadrons. In Category τ, confinement is not dynamical at all. It is address irresolvability: an isolated colour charge cannot be given a consistent CR address on T². The confinement phenomenon is a structural impossibility, not an energetic one. The denominator (1 - ι_τ) in κ(C;3) = ι_τ³/(1 - ι_τ) is its algebraic signature.