  The fermion mass hierarchy and finding a predictive mechanism of the flavor
mixing parameters remain two of the least understood puzzles facing particle
physics today. In this work, we demonstrate how the realization of the Dirac
algebra in the presence of two extra spatial dimensions leads to complex
fermion field profiles in the extra dimensions. Dimensionally reducing to four
dimensions leads to complex quark mass matrices in such a fashion that CP
violation necessarily follows. We also present the generalization of the
Randall-Sundrum scenario to the case of a multi-brane, six-dimensional
brane-world and discuss how multi-brane worlds may shed light on the generation
index of the SM matter content.
