Quantum entanglement and the non-orientability of spacetime

TL;DR

This paper explores how entanglement in the AdS/CFT framework influences the orientability of the dual spacetime, linking quantum entanglement with spacetime topology and orientation.

Contribution

It demonstrates that the degree of entanglement determines spacetime orientability, revealing a connection between quantum states and spacetime topology in holography.

Findings

Entangled CFTs correspond to non-orientable spacetime.

Disentangling CFTs leads to an orientable spacetime.

Topology change correlates with entanglement reduction.

Abstract

We argue, in the context of Ads/CFT correspondence, that the degree of entanglement on the CFTs side determines the orientation of space and time on the dual global spacetime. That is, the global spacetime dual to entangled copies of field theory is non-orientable, while the product state of the CFTs results in an orientable spacetime. As a result, disentangling the degrees of freedom between two copies of CFT implies, on the gravity side, the transition from a non-orientable spacetime to a spacetime having a definite orientation of space and time, thus an orientable spacetime. We conclude showing that topology change induced by decreasing the entanglement between two sets of degrees of freedom corresponds to a topological blow down operation.