A causal interpretation of the pauli equation (B)

David Böhm, Ralph Schiller, J. Tiomno

Pïerre Hillion

David Böhm, Jean Pierre Vigier

In this paper, we propose a physical model leading to the causal interpretation of the quantum theory. In this model, a set of fields which are equivalent in many ways to a conserved fluid, with density ${|\ensuremath{\psi}|}^{2}$, and local stream velocity, $\frac{d\ensuremath{\xi}}{\mathrm{dt}}=\frac{\ensuremath{\nabla}S}{m}$, act on a particle-like inhomogeneity which moves with the local stream velocity of the equivalent fluid. By introducing the hypothesis of a very irregular and effectively random fluctuation in the motions of the fluid, we are able to prove that an arbitrary probability density ultimately decays into ${|\ensuremath{\psi}|}^{2}$. Thus, we answer an important objection to the causal interpretation, made by Pauli and others. This result is extended to the Dirac equation and to the many-particle problem.

Valery Novikov, A.A. Pomanskii

David Böhm

Certain of Takabayasi's criticism of a causal re-interpretation of the quantum theory are answered in detail. It is indecated how this interpretation can be extended to the Dirac equation, and the problem of the identity of equivalent particles is discussed, for the case of particles that satisfy the Pauli principle. Possible extensions of theory are indicated. Finally, criticisms at the philosophical level are discussed, especially the question of what it means to call a theory "metaphysical" and the reasons why the concept of causality is indispensable in scientific theories.

V. P. Vasiliev, Russell Moon