  A new 5-dimensional Classical Unified Field Theory of Kaluza-Klein type is
formulated using 2 separate scalar fields which are related in such a way as to
make the 5-dimensional matter-geometry coupling parameter constant. It is shown
that this procedure solves the problem of the variability of the gravity
coupling parameter without having to assume a conformal invariance. The
corresponding Field equations are discussed paying particular attention to the
possible induction of scalar field gradients by Electromagnetic Fields. A new
correspondence limit in which the field equations lead to the usual
Einstein-Maxwell equations is obtained. This limit does not require the usual
condition that the usual scalar field be constant.
