Entanglement time in the primordial universe

TL;DR

This paper explores how entanglement entropy in the early universe transitions from zero to an area-law, offering insights into quantum correlations and the arrow of time before cosmic inflation.

Contribution

It introduces a quantum perspective on the classical BKL conjecture by analyzing entanglement entropy growth in the primordial universe.

Findings

Entanglement entropy grows from zero to an area-law in the pre-inflationary phase.

The growth of entanglement provides a quantum arrow of time.

Quantum correlations established early influence the CMB sky.

Abstract

We investigate the behavior of the entanglement entropy of space in the primordial phase of the universe before the beginning of cosmic inflation. We argue that in this phase the entanglement entropy of a region of space grows from a zero-law to an area-law. This behavior provides a quantum version of the classical BKL conjecture that spatially separated points decouple in the approach to a cosmological singularity. We show that the relational growth of the entanglement entropy with the scale factor provides a new statistical notion of arrow of time in quantum gravity. The growth of entanglement in the pre-inflationary phase provides a mechanism for the production of the quantum correlations present at the beginning of inflation and imprinted in the CMB sky.