Correspondence between dark energy quantum cosmology and Maxwell equations
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.
Keywords
Cite
@article{arxiv.1905.08350,
title = {Correspondence between dark energy quantum cosmology and Maxwell equations},
author = {Felipe A. Asenjo and Sergio A. Hojman},
journal= {arXiv preprint arXiv:1905.08350},
year = {2019}
}