Emergence of Dark Energy from topology and chiral spinors

TL;DR

This paper proposes a topological mechanism involving chiral spinors in Lorentzian manifolds that naturally induces terms in the Einstein-Cartan action, potentially explaining dark energy.

Contribution

It introduces a novel topological approach linking spinor fields and spacetime topology to dark energy within Einstein-Cartan gravity.

Findings

Topological terms induce effective dark energy components.

Harmonic 1-forms encode topological information affecting gravity.

Contortion from topology influences spacetime dynamics.

Abstract

Under the existence of a massless spinor with respect to the total connection in a spacetime modeled as a Lorentzian manifold with internal boundaries, such as finite volume semi-classical Black Holes, we show that a topological mechanism naturally induces terms in the Einstein-Cartan gravitational action that can be interpreted as General Relativity with dark energy. This may alleviate the problems of dark energy. The topological information is carried by a harmonic 1-form associated to the first co-holomology group of the spacetime, which induces a spacetime contortion acting on the horizontal bundle.