Mass in de Sitter and Anti-de Sitter Universes with Regard to Dark Matter
An explanation of the origin of dark matter is suggested in this work. The argument is based on symmetry considerations about the concept of mass. In Wigner’s view, the rest mass and the spin of a free elementary particle in flat space-time are the two invariants that characterize the associated uni...
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2020-05-01
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Online Access: | https://www.mdpi.com/2218-1997/6/5/66 |
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author | Jean-Pierre Gazeau |
author_facet | Jean-Pierre Gazeau |
author_sort | Jean-Pierre Gazeau |
collection | DOAJ |
description | An explanation of the origin of dark matter is suggested in this work. The argument is based on symmetry considerations about the concept of mass. In Wigner’s view, the rest mass and the spin of a free elementary particle in flat space-time are the two invariants that characterize the associated unitary irreducible representation of the Poincaré group. The Poincaré group has two and only two deformations with maximal symmetry. They describe respectively the de Sitter (dS) and anti-de Sitter (AdS) kinematic symmetries. Analogously to their shared flat space-time limit, two invariants, spin and energy scale for de Sitter and rest energy for anti-de Sitter, characterize the unitary irreducible representation associated with dS and AdS elementary systems, respectively. While the dS energy scale is a simple deformation of the Poincaré rest energy and so has a purely mass nature, AdS rest energy is the sum of a purely mass component and a kind of zero-point energy derived from the curvature. An analysis based on recent estimates on the chemical freeze-out temperature marking in Early Universe the phase transition quark–gluon plasma epoch to the hadron epoch supports the guess that dark matter energy might originate from an effective AdS curvature energy. |
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issn | 2218-1997 |
language | English |
last_indexed | 2024-03-10T20:01:52Z |
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publisher | MDPI AG |
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spelling | doaj.art-cf9cb093897b47a1afae5b752dd750f42023-11-19T23:32:54ZengMDPI AGUniverse2218-19972020-05-01656610.3390/universe6050066Mass in de Sitter and Anti-de Sitter Universes with Regard to Dark MatterJean-Pierre Gazeau0CNRS, Astroparticule et Cosmologie, Université de Paris, F-75013 Paris, FranceAn explanation of the origin of dark matter is suggested in this work. The argument is based on symmetry considerations about the concept of mass. In Wigner’s view, the rest mass and the spin of a free elementary particle in flat space-time are the two invariants that characterize the associated unitary irreducible representation of the Poincaré group. The Poincaré group has two and only two deformations with maximal symmetry. They describe respectively the de Sitter (dS) and anti-de Sitter (AdS) kinematic symmetries. Analogously to their shared flat space-time limit, two invariants, spin and energy scale for de Sitter and rest energy for anti-de Sitter, characterize the unitary irreducible representation associated with dS and AdS elementary systems, respectively. While the dS energy scale is a simple deformation of the Poincaré rest energy and so has a purely mass nature, AdS rest energy is the sum of a purely mass component and a kind of zero-point energy derived from the curvature. An analysis based on recent estimates on the chemical freeze-out temperature marking in Early Universe the phase transition quark–gluon plasma epoch to the hadron epoch supports the guess that dark matter energy might originate from an effective AdS curvature energy.https://www.mdpi.com/2218-1997/6/5/66de Sitteranti-de Sittergroup representationhadronizationdark matterzero-point energy |
spellingShingle | Jean-Pierre Gazeau Mass in de Sitter and Anti-de Sitter Universes with Regard to Dark Matter Universe de Sitter anti-de Sitter group representation hadronization dark matter zero-point energy |
title | Mass in de Sitter and Anti-de Sitter Universes with Regard to Dark Matter |
title_full | Mass in de Sitter and Anti-de Sitter Universes with Regard to Dark Matter |
title_fullStr | Mass in de Sitter and Anti-de Sitter Universes with Regard to Dark Matter |
title_full_unstemmed | Mass in de Sitter and Anti-de Sitter Universes with Regard to Dark Matter |
title_short | Mass in de Sitter and Anti-de Sitter Universes with Regard to Dark Matter |
title_sort | mass in de sitter and anti de sitter universes with regard to dark matter |
topic | de Sitter anti-de Sitter group representation hadronization dark matter zero-point energy |
url | https://www.mdpi.com/2218-1997/6/5/66 |
work_keys_str_mv | AT jeanpierregazeau massindesitterandantidesitteruniverseswithregardtodarkmatter |