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Problems with the electroweak theory indicate the need for a consistent weak interactions theory. The analysis presented in this work is restricted to the relatively simple case of elastic scattering of a neutrino on a Dirac particle. The theory presented herein assumes that the neutrino is a massive particle. Furthermore, the di-G as well as its universal property are used as elements of the theory. On this basis, it is assumed that weak interactions are a dipole-dipole interaction mediated by a weak field. An interaction term that represents weak interactions is added to the Dirac Lagrangian density. The identity † 0 ψ ψ γ ≡ is used in an analysis which proves that the interaction violates parity because it consists of two terms-a vector and an axial vector. This outcome is in accordance with the experimentally confirmed V-A property of weak interactions.

Mass equations based on third-order partial difference equations have been investigated. A test which makes use of subsets of data has been developed to study long-range extrapolations. Inherent connections with the liquid-drop model and the shell model are established. Higher-order effects in isospin, presumably due to subshell mixing and core polarization, are recognized as the origin for an inhomogeneous source term which strongly affects long-range extrapolations.

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It is shown that ‘‘hidden momentum’’ is a real physical entity found in a continuous matter under pressure when observed from an improper inertial frame. Precisely the same results are obtained from an analysis of the mechanical motion of microscopic particles that create pressure. Analogous properties hold in a pressure created by standing electromagnetic waves enclosed between two parallel mirrors. The significance of the energy-momentum tensor and its divergence is pointed out. It is also shown that in certain cases there exists an ensemble of particles where the sum of the energy–momentum 4-vectors of its constituents does not transform as a 4-vector. Using these results, it is shown that a stationary classical system made of a magnet and electric charges has null linear momentum.