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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018-10-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269318306701 |
| _version_ | 1818775385025806336 |
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| author | H. Falomir J. Gamboa P. Gondolo F. Méndez |
| author_facet | H. Falomir J. Gamboa P. Gondolo F. Méndez |
| author_sort | H. Falomir |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-18T10:56:11Z |
| format | Article |
| id | doaj.art-ba2e18dc12b24a2882be03b24044b54d |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-18T10:56:11Z |
| publishDate | 2018-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-ba2e18dc12b24a2882be03b24044b54d2022-12-21T21:10:19ZengElsevierPhysics Letters B0370-26932018-10-01785399402Magnetic seed and cosmology as quantum hall effectH. Falomir0J. Gamboa1P. Gondolo2F. Méndez3Departamento de Física, Universidad Nacional de La Plata, La Plata, ArgentinaDepartamento de Física, Universidad de Santiago de Chile, Casilla 307, Santiago, Chile; Corresponding author.Departament of Physics, University of Utah, Salt Lake City, Utah, USADepartamento de Física, Universidad de Santiago de Chile, Casilla 307, Santiago, ChileIn 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.http://www.sciencedirect.com/science/article/pii/S0370269318306701 |
| spellingShingle | H. Falomir J. Gamboa P. Gondolo F. Méndez Magnetic seed and cosmology as quantum hall effect Physics Letters B |
| title | 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_short | Magnetic seed and cosmology as quantum hall effect |
| title_sort | magnetic seed and cosmology as quantum hall effect |
| url | http://www.sciencedirect.com/science/article/pii/S0370269318306701 |
| work_keys_str_mv | AT hfalomir magneticseedandcosmologyasquantumhalleffect AT jgamboa magneticseedandcosmologyasquantumhalleffect AT pgondolo magneticseedandcosmologyasquantumhalleffect AT fmendez magneticseedandcosmologyasquantumhalleffect |