A causal interpretation of the pauli equation (B)

Summary and Conclusions

In this paper and in the previous paper (A) we have developed a model for the Pauli equation in terms of a fluid composed of spinning bodies, which contribute an « intrinsic angular momentum » to the total angular momentum of the system. This model has the property that if the bodies are at any time all spinning with their angular momenta parallel to their principal axis of symmetry, then they will continue to satisfy this condition for all time. On the other hand, it is possible for the angular momentumS to have a general orientation ; and in this case, the component ofS normal to the principal axis will turn with an angular velocity, Ω, that depends on how fast the body happens to be spinning and in the torques acting on the body. For processes with characteristic times, Τ ≫ 1/Ω, the component ofS normal to the principal axis will average out to zero, and the Pauli theory will provide a good approximation. But for processes in which Τ is of the order of 1/Ω or less, the Pauli equation will no longer apply, and the full general set of non-linear equations will be needed. This means that our model already implies the possibility of a break down in connection with sufficiently high frequencies, and therefore with sufficiently high energies, of the whole general scheme connected with the usual interpretation of the quantum theory, which is based in an essential way on the assumption that the fundamental equations of the theory willalways be linear.