# Natural analog to cosmology in basic condensed matter physics

## TL;DR

This paper demonstrates that certain condensed matter systems, specifically Coulomb systems, can emulate cosmological models, revealing a deep analogy between condensed matter physics and general relativity.

## Contribution

It establishes a novel analogy between Coulomb systems in condensed matter physics and cosmological equations, including phenomena like Hubble law and negative cosmological constant effects.

## Key findings

- Coulomb explosions mimic open cosmologies in negatively curved spaces
- Breathing modes in conductors model oscillatory universes including anti-de Sitter space
- The equations governing Coulomb systems have structures similar to Einstein's cosmological equations

## Abstract

We show that the spatially homogeneous and isotropic evolution of a macroscopic Coulomb system of identical particles obeys equations that have the structure of the cosmological equations of the general theory of relativity. There is a Hubble law, and the background charge (if present) mimics the effect of a negative cosmological constant. Specifically, Coulomb explosions mimic the non-singular open cosmologies in negatively curved spaces, while breathing modes in conductors model oscillatory universes including the anti-de Sitter space.