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Abstract: We argue that quantum theory should proceed not from a spacetime backgroundbut from a Lie algebra, which is treated as a symmetry algebra. Then the factthat the cosmological constant is positive means not that the spacetimebackground is curved but that the de Sitter dS algebra as the symmetryalgebra is more relevant than the Poincare or anti de Sitter ones. The physicalinterpretation of irreducible representations IRs of the dS algebra isconsiderably different from that for the other two algebras. One IR of the dSalgebra splits into independent IRs for a particle and its antiparticle onlywhen Poincare approximation works with a high accuracy. Only in this caseadditive quantum numbers such as electric, baryon and lepton charges areconserved, while at early stages of the Universe they could not be conserved.Another property of IRs of the dS algebra is that only fermions can beelementary and there can be no neutral elementary particles. The cosmologicalrepulsion is a simple kinematical consequence of dS symmetry on quantum levelwhen quasiclassical approximation is valid. Therefore the cosmological constantproblem does not exist and there is no need to involve dark energy or otherfields for explaining this phenomenon in agreement with a similar conclusionby Bianchi and Rovelli.

Author: Felix M. Lev

Source: https://arxiv.org/

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