Abstract

The theory of Pauli and Weisskopf is reformulated in hydrodynamical terms by introduction of a suitable density ρ and a suitable velocity potential [Formula: see text]. The Hamiltonian of the system is expressed in terms of ρ, [Formula: see text], and their canonical momenta. In accordance with a general program proposed by the author the transition to quantum theory is carried out along the lines of quantum hydrodynamics. The eigenvalues of the Hamiltonian corresponding to excitations of the motion with no net mass flow are obtained. Since these excitations do not give rise to an electromagnetic field, they are tentatively identified with neutrinolike particles. The picture emerging from these considerations is that of two interpenetrating fluids of positive and negative charge, in which different types of elementary particles appear as different types of excitations of the motion.

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