  This paper presents the detailed, standard treatment of a simple, gauge
invariant action for Weyl and Weyl-like Cartan geometries outlined in a
previous paper. In addition to the familiar scalar curvature squared and
Maxwell terms, the action chosen contains the logarithmic derivative of the
scalar curvature combined with the intrinsic four vector (Weyl vector) in a
gauge invariant fashion. This introduces higher order derivative terms directly
into the action. No separate, "matter" fields are introduced. As the usual Weyl
metric and four vector are varied, certain gauge invariant combinations of
quantities arise naturally as the results are collected, provided the scalar
curvature is nonzero. This paper demonstrates the general validity of these
results for any gauge choice. Additionally, "matter" terms appear in the field
equations. Furthermore, the resulting forms isolate the familiar mathematical
structure of a coupled Einstein-Maxwell-Schroedinger (relativistic) system of
classical fields, with the exception of additional, second derivative terms in
the stress tensor for the Schroedinger field, and the algebraic independence of
the conjugate wavefunction. This independence is found to be equivalent to the
presence of a second, negative energy, Schroedinger field. A detailed
comparison is made between this model, and the standard
Einstein-Maxwell-Schroedinger field theory. The possible use of such continuum
models as a basis for quantum phenomena, and some generalizations of the model
are discussed.
