Abstract
According to the quantum theory calculations, the cosmological constant responsible for accelerated expansion of the Universe must differ by 120 orders of magnitude at the early and modern stages of evolution of the Universe. In this work, this dynamics of cosmological constant is accounted for. The Poincare–Weyl gauge gravitation theory developed in [2] is the basis for further constructions [1]. This theory is invariant with respect to both the Poincare subgroup and the Weyl subgroup – extensions and compressions (dilatations) of spacetime. In the theory, there occurs an additional scalar field ( ) x β introduced by Dirac. Its transformation under dilatations can be described as
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