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## 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.

Weyl Gravity As General Relativity, James Thomas Wheeler

#### Weyl Gravity As General Relativity, James Thomas Wheeler

*James Thomas Wheeler*

When the full connection of Weyl conformal gravity is varied instead of just the metric, the resulting vacuum field equations reduce to the vacuum Einstein equation, up to the choice of local units, if and only if the torsion vanishes. This result differs strongly from the usual fourth-order formulation of Weyl gravity.