https://doi.org/10.1140/epjc/s10052-019-7252-z
Regular Article - Theoretical Physics
Correspondence between dark energy quantum cosmology and Maxwell equations
1
Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, 7941169, Santiago, Chile
2
Departamento de Ciencias, Facultad de Artes Liberales, Universidad Adolfo Ibáñez, Santiago, Chile
3
Departamento de Física, Facultad de Ciencias, Universidad de Chile, Santiago, Chile
4
Centro de Recursos Educativos Avanzados, CREA, Santiago, Chile
* e-mail: felipe.asenjo@uai.cl
Received:
14
May
2019
Accepted:
27
August
2019
Published online:
4
September
2019
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 corresponds 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.
© The Author(s), 2019