Cosmogenesis and the 0 × ∞ Indeterminate Form: The Big Bang as a Topological Phase Transition in QGEFT

Paper 89 does not claim that a full continuum cosmology, a complete quantum-gravity phenomenology, or a derivation of the exact constants of nature has been achieved from first principles. It does show that the verified QGEFT repository now reproduces, in one self-contained Monte-Carlo experiment, the algorithmic core of cosmogenesis: a completely empty graph (0 edges), ignited at `T = 100`, undergoes a sharp topological phase transition at `T_c ~ 1.02–1.12` and freezes into a perfectly regular, 6-regular, triangle-rich spectral geometry (`d_s ~ 1.30–1.41`, diameter 4) — a finite, ordered space into which particles can later condense — in all four seeds, with both null controls confirming that the transition is driven by cooling and by the triangle (space) reward. The universe is not created from nothing; it is *computed* from nothing, building directly on the metric-birth program of Paper 16, the dimensional-unlocking program of Paper 68, and the self-training-universe synthesis of Paper 88.