On an integrable geometrical foundation of gravity

TL;DR

This paper explores a novel geometric approach to gravity where affine spacetime connections are associated with fictitious forces, resulting in a flat geometry that still couples to fermions and gauge fields.

Contribution

It introduces an integrable geometric framework for gravity using affine connections, unifying flat spacetime with gravitational effects through gauge formulations.

Findings

Affine connection linked to fictitious forces in gravity

Fermions couple to the metrical connection and phase gauge fields

Gravity modeled in a flat, smooth geometric setting

Abstract

In a talk at the conference {\it Geometrical Foundations of Gravity at Tartu 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.