The cosmological BCS mechanism and the Big Bang Singularity

TL;DR

This paper introduces a new cosmological mechanism based on fermion pairing that avoids the Big Bang Singularity by inducing a bounce in the universe's evolution without requiring ghost fields.

Contribution

It proposes a novel fermion condensation mechanism in early universe cosmology that dynamically prevents singularities in FRW space-times.

Findings

Fermion pairing leads to a BCS-like condensate in early universe.

The mechanism results in a non-singular bounce replacing the Big Bang.

The approach does not require ghost fields for singularity resolution.

Abstract

We provide a novel mechanism that resolves the Big Bang Singularity present in FRW space-times without the need for ghost fields. Building on the fact that a four-fermion interaction arises in General Relativity when fermions are covariantly coupled, we show that at early times the decrease in scale factor enhances the correlation between pairs of fermions. This enhancement leads to a BCS-like condensation of the fermions and opens a gap dynamically driving the Hubble parameter $H$ to zero and results in a non-singular bounce, at least in some special cases.