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arXiv · 1905.08350

Correspondence between dark energy quantum cosmology and Maxwell equations

Felipe A. Asenjo·Sergio A. Hojman
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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.

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Felipe A. Asenjo, Sergio A. Hojman. 2019-05-20. Correspondence between dark energy quantum cosmology and Maxwell equations. https://doi.org/10.1140/epjc%2Fs10052-019-7252-z

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