Open Access. Powered by Scholars. Published by Universities.^{®}

Articles **1** - **2** of ** 2**

## Full-Text Articles in Physics

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.