# Correspondence between dark energy quantum cosmology and Maxwell equations

## TL;DR

This paper establishes a novel correspondence between a quantum cosmological model involving dark energy and Maxwell's equations, enabling the study of quantum cosmology through electromagnetic analogues.

## Contribution

It demonstrates that a Majorana quantum cosmology model can be represented by electromagnetic wave equations in a medium with specific permittivity and permeability.

## Key findings

- Quantum cosmology models correspond to Maxwell equations in engineered media.
- Explicit parameters for the electromagnetic medium are derived.
- The approach enables analogue simulations of quantum cosmological phenomena.

## Abstract

A Friedmann-Robertson-Walker cosmology with dark energy can be modelled using a quintessence field. That system is equivalent to a relativistic particle moving on a two-dimensional conformal spacetime. When the quintessence behaves as a free massless scalar field in a Universe with cosmological constant, the quantized version of that theory can lead to a Supersymmetric Majorana quantum cosmology. The purpose of this work is to show that such quantum cosmological model correspond to the Maxwell equations for electromagnetic waves propagating in a medium with specific values for its relative permittivity and relative permeability. The form of those media parameters are calculated, implying that a Majorana quantum cosmology can be studied in an analogue electromagnetic system.