The contraction of the representations of the group $SO(4,1)$ and cosmological interpretation

Abstract

We consider the operation of contraction of unitary irreducible representations of the de Sitter group $SO(4,1)$. It is shown that a direct sum of unitary irreducible representations of the Poincaré group with different signs of the rest mass is obtained as a result of contraction. The results obtained are used to interpret the phenomena of "dark matter" and "dark energy" in terms of the elementary quantum systems of de Sitter's world.

12 pages

References in corpus (2)

• One Hundred Years of the Cosmological Constant: from 'Superfluous Stunt' to Dark Energy
• The history of the cosmological constant problem