Pre-geometric Einstein-Cartan Field Equations and Emergent Cosmology

TL;DR

This paper derives and analyzes pre-geometric gravity field equations, showing how spacetime and Einstein-Cartan equations emerge after symmetry breaking, and presents a pre-geometric de Sitter universe solution addressing the Big Bang singularity.

Contribution

It introduces a framework for pre-geometric gravity theories, demonstrating emergence of spacetime and Einstein-Cartan equations post-symmetry breaking, with an exact de Sitter universe solution.

Findings

Spacetime metric emerges after symmetry breaking.

Derived Einstein and Cartan field equations from pre-geometric theories.

Presented an exact pre-geometric de Sitter universe solution.

Abstract

The field equations of pre-geometric theories of gravity are derived and analysed, both without and with matter. After the spontaneous symmetry breaking that reduces the gauge symmetry of these theories \`a la Yang-Mills, a metric structure for spacetime emerges and the field equations recover both the Einstein and the Cartan field equations for gravity. A first exact solution of the pre-geometric field equations is also presented. This solution can be considered as a pre-geometric de Sitter universe and provides a possible resolution for the problem of the Big Bang singularity.