Quantum entanglement of dark matter

TL;DR

This paper proposes that dark matter, modeled as a Bose-Einstein condensate of ultra-light scalar particles, exhibits quantum entanglement across galactic regions, with potential observational signatures in galaxy rotation curves and interference patterns.

Contribution

It introduces a novel theory that dark matter's quantum entanglement can be characterized and potentially observed through galactic phenomena.

Findings

Entanglement entropy scales as ln(M/m), indicating significant quantum correlations.

Galactic rotation curves and interference patterns could reveal dark matter entanglement.

Dark matter's quantum nature may influence galaxy dynamics and structure.

Abstract

We suggest that the dark matter in the universe has quantum entanglement if the dark matter is a Bose-Einstein condensation of ultra-light scalar particles. In this theory, any two regions of a galaxy are quantum entangled due to the quantum nature of the condensate. We calculate the entanglement entropy of a typical galactic halo, which turns out to be at least $O(ln(M/m))$, where $M$ is the mass of the halo and $m$ is the mass of a dark matter particle. The entanglement can be inferred from the rotation curves of the galaxy or the interference patterns of the dark matter density.