  Following de Broglie and Vigier, a fully relativistic causal interpretation
of quantum mechanics is given within the context of a geometric theory of
gravitation and electromagnetism. While the geometric model shares the
essential principles of the causal interpretation initiated by de Broglie and
advanced by Vigier, the particle and wave components of the theory are derived
from the Einstein equations rather than a nonlinear wave equation. This
geometric approach leads to several new features, including a solution to the
de Broglie variable mass problem.
