Unitary theories in the work of Mira Fernandes (beyond general relativity and differential geometry)

TL;DR

This paper reviews Mira Fernandes's contributions to unitary theories, exploring their historical context, geometric foundations, and the development of unified gravitational and electromagnetic models beyond traditional frameworks.

Contribution

It provides a comprehensive analysis of Mira Fernandes's work on unitary theories within generalized geometries, highlighting its significance beyond general relativity.

Findings

Analysis of Weyl and Cartan geometries

Review of Mira Fernandes's publications on connections

Contextualization of unitary theories in early 20th-century physics

Abstract

An analysis of the work of Mira Fernandes on unitary theories is presented. First it is briefly mentioned the Portuguese scientific context of the 1920s. A short analysis of the extension of Riemann geometries to new generalized geometries with new affine connections, such as those of Weyl and Cartan, is given. Based on these new geometries, the unitary theories of the gravitational and electromagnetic fields, proposed by Weyl, Eddington, Einstein, and others are then explained. Finally, the book and one paper on connections and two papers on unitary theories, all written by Mira Fernandes, are analyzed and put in context.