Magnetic seed and cosmology as quantum hall effect

In the framework of a bimetric model, we discuss a relation between the (modified) Friedmann equations and a mechanical system similar to the quantum Hall effect problem. Firstly, we show how these modified Friedmann equations are mapped to an anisotropic two-dimensional charged harmonic oscillator...

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Autores principales: Falomir, Horacio Alberto, Gamboa, Jorge, Gondolo, Paolo, Méndez, Fernando
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2018
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125626
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id I19-R120-10915-125626
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Ciencias Exactas
Quantum Hall Effect
Friedmann equations
magnetic field
spellingShingle Física
Ciencias Exactas
Quantum Hall Effect
Friedmann equations
magnetic field
Falomir, Horacio Alberto
Gamboa, Jorge
Gondolo, Paolo
Méndez, Fernando
Magnetic seed and cosmology as quantum hall effect
topic_facet Física
Ciencias Exactas
Quantum Hall Effect
Friedmann equations
magnetic field
description In the framework of a bimetric model, we discuss a relation between the (modified) Friedmann equations and a mechanical system similar to the quantum Hall effect problem. Firstly, we show how these modified Friedmann equations are mapped to an anisotropic two-dimensional charged harmonic oscillator in the presence of a constant magnetic field, with the frequencies of the oscillator playing the role of the cosmological constants. This problem has two energy scales leading to the identification of two different regimes, namely, one dominated by the cosmological constants, with exponential expansions for the scale factors, and the other dominated by a magnetic seed, which would be responsible for both a component of dark energy and a primordial magnetic field. The latter regime would be described by a (nonperturbative) mapping between the cosmological evolution and the quantum Hall effect.
format Articulo
Preprint
author Falomir, Horacio Alberto
Gamboa, Jorge
Gondolo, Paolo
Méndez, Fernando
author_facet Falomir, Horacio Alberto
Gamboa, Jorge
Gondolo, Paolo
Méndez, Fernando
author_sort Falomir, Horacio Alberto
title Magnetic seed and cosmology as quantum hall effect
title_short Magnetic seed and cosmology as quantum hall effect
title_full Magnetic seed and cosmology as quantum hall effect
title_fullStr Magnetic seed and cosmology as quantum hall effect
title_full_unstemmed Magnetic seed and cosmology as quantum hall effect
title_sort magnetic seed and cosmology as quantum hall effect
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/125626
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AT gamboajorge magneticseedandcosmologyasquantumhalleffect
AT gondolopaolo magneticseedandcosmologyasquantumhalleffect
AT mendezfernando magneticseedandcosmologyasquantumhalleffect
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