Emergent Flavor Structure from Resonant Brane Dynamics

We investigate a toy model in which flavor mixing emerges from
resonant field structures generated during a collision of two nearly symmetric branes. The interaction produces a spatial resonance field whose
energy density defines an effective operator. The eigenmodes of this
operator correspond to particle families, while the overlap of modes
between the two brane sectors generates a mixing matrix analogous to
the CKM matrix of the Standard Model.
Numerical simulations demonstrate that CKM-like structures emerge
robustly from simple resonance dynamics with only a small asymmetry
between the two branes.