|Present||Associate Professor, Utah State University ‐ Physics|
Phone: (435) 797-3349
Office: Science Engineering Research (SER) 228
Selected articles (35)
Time and dark matter from the conformal symmetries of Euclidean space Classical and Quantum Gravity (2014)
Starting with the conformal symmetries of Euclidean space, we construct a manifold where time manifests as a part of the geometry. Though there is no matter present in the geometry studied here, geometric terms analogous ...
Gravitational Gauge Theory and the Existence of Time Journal of Physics: Conference Series (2013)
General relativity may be formulated as a gauge theory more than one way using the quotient manifold approach. We contrast the structures that arise in four gravitational gauge theories, three of which give satisfactory gauge ...
Biconformal matter actions International Journal of Pure and Applied Mathematics (2006)
We extend 2n-dim biconformal gauge theory by including Lorentz-scalar matter fields of arbitrary conformal weight. We show that for a massless scalar field of conformal weight zero in a torsion-free biconformal geometry, the solution is ...
Quantum Theory as a Biconformal Measurement Theory International Journal of Geometric Methods in Modern Physics (2006)
Biconformal spaces contain the essential elements of quantum mechanics, making the independent imposition of quantization unnecessary. Based on three postulates characterizing motion and measurement in biconformal geometry, we derive standard quantum mechanics, and show how ...
Extended Conformal Symmetry Extended Conformal Symmetry (2000)
We show that the grading of fields by conformal weight, when built into the initial group symmetry, provides a discrete, non-central conformal extension of any group containing dilatations. We find a faithful vector representation of ...
Conformal actions in any dimension Nuclear Physics B (1999)
Biconformal gauging of the conformal group gives a scale-invariant volume form, permitting a single form of the action to be invariant in any dimension. We display several 2n-dimensional scale-invariant polynomial actions and a dual action. ...
New conformal gauging and the electromagnetic theory of Weyl Journal of Mathematical Physics (1998)
A new eight-dimensional conformal gauging solves the auxiliary field problem and eliminates unphysical size change from Weyl’s electromagnetic theory. We derive the Maurer–Cartan structure equations and find the zero curvature solutions for the conformal connection. ...
Anisotropic, time-dependent solutions in maximally Gauss-Bonnet extended gravity Nuclear Physics B (1991)
In an arbitrary number of dimensions, we find the full exact anisotropic, time-dependent, diagonal-metric solutions to maximally Gauss-Bonnet extended gravity theory. This class of theories, for which the lagrangian is an arbitrary linear combination of ...