Convergence of Nine Independent Mathematical Channels from a Single Gaussian Integer Seed

Nine independent mathematical domains—each beginning from the Gaussian integer seed z = 2+i—produce the same vocabulary of cascade quantities {137, 133, 24, 17, 7, 5, 4, 3617} through distinct algebraic mechanisms. Each channel has been verified independently in a standalone paper (Papers 11–18 in this series). One channel (the topos derivation) was falsified and retired (Paper 17). This synthesis paper cites the eight surviving channels, proves their algebraic independence, and addresses the probability of coincidental convergence.