4 papers
Quaternionic Gauge Transformations and Yang-Mills Fields in Weyl Type Geometries
J. E. Rankin
This elementary discussion generalizes a Weyl geometry to allow quaternion valued gauge transformations and classical Yang-Mills geometric fields. This development will assume that…
Intrinsic Dirac Behavior of Scalar Curvature in a Quaternionic Weyl-Cartan Geometry
J. E. Rankin
The "spin-up" and "spin-down" projections of the second order, chiral form of Dirac Theory are shown to fit a superposition of forms predicted in an earlier classical, complex scal…
Quantum Behavior in Asymmetric, Weyl-Like Cartan Geometries
J. E. Rankin
This discussion examines recent developments in the theory of a Weyl-like, Cartan geometry with natural Schrödinger field behavior proposed previously. In that model, very nearly e…
Higher order gravity, gauge invariant variables, and quantum behavior in Weyl-like geometries
J. E. Rankin
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 f…