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Full-Text Articles in Physics
Graviweak Theory In Bicomformal Space, Mubarak Ukashat
Graviweak Theory In Bicomformal Space, Mubarak Ukashat
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
There are four basic forces in nature: the electromagnetic force, which accounts for interactions of particles with charges; the weak force, which is responsible for radioactive decay; the strong force, which holds the particles inside a nucleus tightly bound together; and the gravitational force, which is responsible for keeping us on our beautiful planet, Earth and holding together our entire solar system. Physicists have been on the hunt for a theory that can single-handedly explain all these forces under the same underlying mathematical formulation. So far, physicists have suceeded in unifying the electromagnetic and weak forces in what is called …
Yang-Mills Sources For Biconformal Gravity, Walter Davis Muhwezi
Yang-Mills Sources For Biconformal Gravity, Walter Davis Muhwezi
Physics Capstone Projects
We present a gauge formulation of Yang-Mills matter sources for Biconformal gravity. Biconformal gravity is a 2n-dimensional conformal gauge theory with a curvature linear action that has been shown to reproduce scale invariant general relativity on the cotangent bundle of n-dimensional space time. We present a generalization of Yang-Mills theories in biconformal space and show that the field equations with sources reduce the Yang-Mills sector to n-dimensional Yang-Mills theory in curved spacetime. We compute the restrictive conditions on the energy-momentum tensor required by the gravitational field equations.
General Relativity As A Biconformal Gauge Theory, James Thomas Wheeler
General Relativity As A Biconformal Gauge Theory, James Thomas Wheeler
All Physics Faculty Publications
We consider the conformal group of a space of dim n=p+q, with SO(p,q) metric. The quotient of this group by its homogeneous Weyl subgroup gives a principal fiber bundle with 2n-dim base manifold and Weyl fibers. The Cartan generalization to a curved 2n-dim geometry admits an action functional linear in the curvatures. Because symmetry is maintained between the translations and the special conformal transformations in the construction, these spaces are called biconformal; this same symmetry gives biconformal spaces overlapping structures with double field theories, including manifest T-duality. We establish that biconformal geometry is …
The Spacetime Co-Torsion In Torsion-Free Biconformal Spaces, James Thomas Wheeler
The Spacetime Co-Torsion In Torsion-Free Biconformal Spaces, James Thomas Wheeler
James Thomas Wheeler
In preceding studies, [TR Gamma minus, TR Gamma plus] we showed that the solution for the connection of flat biconformal space also solves the curved space field equations for the torsion and co-torsion. We continued this investigation with an attempt to solve the full set of torsion and co-torsion field equations, with only the assumption of vanishing torsion and the known form of the metric. We successfully reduced the torsion equations to a single equation. Here, we reduce that equation to its essential degrees of freedom. We find that the spacetime co-torsion is entirely determined by the scale vector and …
Torsion Free Biconformal Spaces: Reducing The Torsion Field Equations, James Thomas Wheeler
Torsion Free Biconformal Spaces: Reducing The Torsion Field Equations, James Thomas Wheeler
James Thomas Wheeler
Our goal is to solve the full set of torsion and co-torsion field equations of Euclidean biconformal space, with only the assumption of vanishing torsion. Here we begin by resolving the involution constraints, symmetry conditions and torsion field equation into a single equation for further study.
Studies In Torsion Free Biconformal Spaces, James Thomas Wheeler
Studies In Torsion Free Biconformal Spaces, James Thomas Wheeler
All Physics Faculty Publications
We study whether the solutions for the symmetric part of the connection in homogeneous biconformal space also satisfy the more general field equation of curved biconformal spaces. We show that the six field equations for the torsion and co-torsion are satisfied by vanishing torsion together with the Lorentzian form of the metric when γ+ = 0.
Gauge Transformations Of The Biconformal Connection, James Thomas Wheeler
Gauge Transformations Of The Biconformal Connection, James Thomas Wheeler
All Physics Faculty Publications
We study the changes of the biconformal gauge fields under the local rotational and dilatational gauge transformations.