An integrable geometrical foundation of gravity

Abstract

In a talk at the conference Geometrical Foundations of Gravity at Tartu[Formula: see text] 2017, it was suggested that the affine spacetime connection could be associated with purely fictitious forces. This leads to gravitation in a flat and smooth geometry. Fermions are found to nevertheless couple with the metrical connection and a phase gauge field. The theory is reviewed in this proceeding in a Palatini, and in a metric-affine gauge formulation.