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Mass in de Sitter and Anti-de Sitter Universes with Regard to Dark Matter

CNRS, Astroparticule et Cosmologie, Université de Paris, F-75013 Paris, France
Universe 2020, 6(5), 66; https://doi.org/10.3390/universe6050066
Received: 6 April 2020 / Revised: 30 April 2020 / Accepted: 2 May 2020 / Published: 5 May 2020
(This article belongs to the Section Field Theory)
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. View Full-Text
Keywords: de Sitter; anti-de Sitter; group representation; hadronization; dark matter; zero-point energy; quark–gluon plasma; critical point de Sitter; anti-de Sitter; group representation; hadronization; dark matter; zero-point energy; quark–gluon plasma; critical point
MDPI and ACS Style

Gazeau, J.-P. Mass in de Sitter and Anti-de Sitter Universes with Regard to Dark Matter. Universe 2020, 6, 66. https://doi.org/10.3390/universe6050066

AMA Style

Gazeau J-P. Mass in de Sitter and Anti-de Sitter Universes with Regard to Dark Matter. Universe. 2020; 6(5):66. https://doi.org/10.3390/universe6050066

Chicago/Turabian Style

Gazeau, Jean-Pierre. 2020. "Mass in de Sitter and Anti-de Sitter Universes with Regard to Dark Matter" Universe 6, no. 5: 66. https://doi.org/10.3390/universe6050066

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