Paper B: The Universal Coupling Unit and Branched Flow

We present Branch B of the Ontology of Irreducible Execution: an alternative implementation of the protective belt that replaces the CTMC over a random graph with two complementary mechanisms — the Universal Coupling Unit (UCU) as a minimal binary operator generating topology, and Branched Flow as the spontaneous architect of stable structures. The hard core (Axioms I–IV, including the XAI Verification Architecture) remains completely intact. Branch B generates four predictions that differ from those of Papers I–IV: (B-P1) dark matter density profile r^−0. 52 derived from the spectral dimension of the UCU graph in d=3; (B-P2) primordial power spectrum nₛB derived from the branched flow exponent in the weak-percolation regime; (B-P3) Bell correlation bound S₂₇ₒ₇B as the norm of the Berry-phase-weighted UCU adjacency operator; (B-P4) Mott track collapse rate proportional to local Landauer entropy. The competition between the gamma = 0. 48 prediction of Papers I–IV and gammaB = 0. 52 of Branch B is the programme’s internal empirical discrimination mechanism. Keywords: alternative implementation, UCU, branched flow, Mott track, Lakatosian branch, competing predictions, XAI Protocol, alternative protective belt. Tags: EXEC-ONTOLOGY-BRANCH-B UCU-MINIMAL-OPERATOR BRANCHED-FLOW-GEOMETRY MOTTTRACK-EXECUTION PARALLEL-IMPLEMENTATION-BELT COMPETING-PREDICTIONS CANDIDATE] XAI-CRITERION-3-BRANCH LAKATOSIAN-BRANCH GARCIA-BLANCA-2026