Chapter 49: The Crossing-Limit Theorem and the Omega Point

The Crossing-Limit Theorem establishes that the merger-directed net of BH ω-codes converges to ι_τ: as black holes merge across cosmic time, their blueprint codes approach the master constant. The cosmological limit of all mergers is a universal BH whose ω-germ code is ι_τ—the fully alive state. The Omega Point is neither Teilhard’s mysticism nor heat death, but convergence to maximal aliveness via eternal circulation on the lemniscate. The chapter closes with the generative-to-refinement transition: the cosmological arrow from structure-building to Life-optimizing, viewed from E₂.