Flow-matching distributional RL with source-consistent Bellman-coupled paths and shared-noise coupling between current and successor return flows. A lambda-parameterized control variate reduces bootstrap variance while preserving Gaussian source and Bellman endpoint geometry. Strong distributional fidelity on toy MRPs and competitive offline RL on 38 OGBench and D4RL tasks. Accepted to ICML 2026 as a regular presentation.
