Unitary theories in the work of Mira Fernandes (beyond general relativity and differential geometry)
arXiv:1012.5093
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.
33 pages. Published in Boletim da Sociedade Portuguesa de Matematica, (Numero Especial - Aureliano Mira Fernandes), eds. L. Saraiva e J. T. Pinto, (Sociedade Portuguesa de Matematica, Lisboa, 2010), p. 147. Based on the invited talk at the conference "Mira Fernandes and his age - An historical Conference in honour of Aureliano de Mira Fernandes (1884-1958)", IST Lisbon, June 2009