Emergence of cosmological Friedmann equations from quantum entanglement

TL;DR

This paper explores how the Friedmann equations governing cosmological expansion can be derived from principles of quantum entanglement, linking quantum information theory with cosmology.

Contribution

It introduces a novel approach connecting entanglement entropy maximization to the derivation of Friedmann equations in a cosmological setting.

Findings

Friedmann equations can be derived from entanglement entropy principles.

A relation between quantum entanglement and cosmological dynamics is established.

The approach uses Fermi normal coordinates to connect quantum information with spacetime geometry.

Abstract

We study the deep connections between the concepts of quantum information theory and cosmology. Employing Fermi normal coordinates and conformal Fermi coordinates, we construct a relation between Friedmann equations of Friedmann-Lemaitre-Robertson-Walker universe and entanglement. Friedmann equations are derived with the first law of entanglement under the assumption that entanglement entropy in a geodesic balls is maximized at fixed volume.