Two sterile neutrinos as a consequence of matter structure

An algebraic argument based on a series of generalized Dirac equations, tru ncated by an "intrinsic Pauli principle", shows that there should exist two sterile neutrinos as well as three families of leptons and quarks. Then, t he influence of these additional neutrinos on neutrino oscillations is stud ied. As an example, a specific model of effective five-neutrino texture is proposed, where only the nearest neighbours in the sequence of five neutrin os ordered as nu (s), nu (s)', nu (s)', nu (mu), nu (tau) are coupled throu gh the 5 x 5 mass matrix. Its diagonal elements are taken as negligible in comparison with its nonzero off-diagonal entries.