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We derive the canonical form of mixing of the mass eigenstates in thelepto-quark sector of the 4-generation Dirac-Kaehler extension of the SM(DK-SM) [1,2]. The 4 x 4 CKM matrix of DK-SM is expressed in terms two U(2)matrices. It depends on 2 real parameters and 3 phases. The resulting observed3 x 3 CKM matrix exhibits previously unknown tree-level algebraic relationsamong its elements. The simplest two, V_ts = V_cb and V_cs = V_tb, aresupported by the experimental data [3]. The 4 x 4 CKM matrix can be fullyreconstructed from the experimental values of the 3 x 3 CKM matrix. Thus,except for masses of the fourth generation, the quark sector of the DK-SMtheory can be reconstructed in its entirety using the 3 x 3 CKM matrixprecision measurements.

Mass Eigenstate Mixing in the 4-Generation Dirac-Kaehler Extension of the SM