  In 1945 Einstein concluded that [1]: 'The present theory of relativity is
based on a division of physical reality into a metric field (gravitation) on
the one hand, and into an electromagnetic field and matter on the other hand.
In reality space will probably be of a uniform character and the present theory
be valid only as a limiting case. For large densities of field and of matter,
the field equations and even the field variables which enter into them will
have no real significance.'. The dichotomy can be resolved by introducing a
scalar field/potential algebraically related to the Ricci tensor for which the
corresponding metric is free of additional singularities. Hence, although a
fundamentally nonlinear theory, the scalar field/potential provides an analytic
framework for interacting particles; described by linear superposition. The
stress tensor for the scalar field includes both the sources of and the
energy-momentum for the gravitational field, and has zero covariant and
ordinary divergence. Hence, the energy-momentum for the gravitational field and
sources are conserved. The theory's predictions agree with the experimental
results for General Relativity. By introducing the corresponding Lagrangian to
analytic mechanics, what is experimentally known for GR can be accounted for.
