Search for fermion universality of the Dirac component of neutrino mass matrix

It is conjectured that a diagonal and degenerate 3 x 3 active-active component (i.e., lefthanded component) dominates in the effective 6 x 6 mass matrix for six Majorana neutrinos, three active and three (conventional) sterile, while its 3 x 3 active-sterile component (i.e., Dirac component) arises through a bimaximal-mixing unitary transformation from a structure similar to the 3 x 3 mass matrices for charged leptons as well as up and down quarks. In such a texture, three neutrino masses are nearly degenerate, m(1) similar or equal to m(2) similar or equal to m(3), though their mass-squared differences appear hierarchical, Deltam(21)(2) much less than Deltam(32)(2) similar or equal to Deltam(31)(2), whereas the remaining three neutrino masses can be constructed to vanish, m(4) = m(5) = m(6) = 0, or to be, as in Appendix A, degenerate in square with the previous masses, m(1) = \m(4)\, m(2) = \m(5)\, m(3) = \m(6)\, in contrast to the familiar seesaw mechanism (in both cases). Appendices B and C are devoted to the author's idea of the algebraic compositeness of fundamental particles, resulting into three generations of Standard Model fermions and two generations of new bosons.