# A Single Equation Of Gravity And Electromagnetism On Parallelizable Manifold Using Dolan-McCrea Variational Method

## TL;DR

This paper employs the Dolan-McCrea variational method to derive a unified geometric field equation on a parallelizable manifold that describes both gravity and electromagnetism within a single framework.

## Contribution

It introduces a novel unified field equation derived from a scalar invariant combining Ricci scalar and contortion, using the Dolan-McCrea variational approach on Absolute Parallelism geometry.

## Key findings

- Derived a geometric field equation combining gravity and electromagnetism
- Demonstrated the effectiveness of the equation in describing phenomena
- Extended the scalar invariant used in Einstein's GR to include contortion

## Abstract

The crucial but undocumented Dolan-McCrea variational method is richly applied. Using the said method, we analytically derived a field equation comprising entirely of geometric structures and we investigate how effectively it describes gravitational and electromagnetic phenomena. The procedure we adopted involved constructing a scalar invariant as was the case for Einstein's General Relativity (GR) except that the scalar of parameterized Absolute Parallelism geometey consists of the Ricci scalar plus an additional term, which is essentially the contortion. %Based on earlier discourse, a good starting point for this section would be the connections of the PAP-space.