Synthetic data

The Gaussian experiments reuse exactly the same committed AnnData and frozen cross-modal map. BranchSync is a separate five-snapshot paired branching experiment generated directly from its original seed-42 recipe.

• Balanced Gaussian bump: synchronized and primary-only vector fields with conserved mass.

• Unbalanced Gaussian bump: the same comparison with terminal mass set to twice the initial mass, plus red-blue instantaneous growth along every trajectory.

• Cy comparison: one balanced no-sync baseline and synchronized runs at \(C_y=0.1\), \(0.5\) and \(0.7\), all from the same model initialization.

• BranchSync: weak branching in the primary space, an amplified split in the secondary space, a freshly validated time-conditioned map and the balanced 10,000-step Figure 2b comparison.