Harrison-Zel'dovich scale invariance and the exponential decrease of the "cosmological constant" in the super-early Universe

TL;DR

This paper explores a Poincare-Weyl gauge theory of gravity, showing how a scale-invariant early universe with a decreasing cosmological constant can explain inflation and address the cosmological constant problem.

Contribution

It introduces a generalized cosmological constant dependent on the Dirac scalar field within Poincare-Weyl gauge theory, explaining inflation and the small current value of the cosmological constant.

Findings

The universe exhibits inflationary expansion during the super-early stage.

The generalized cosmological constant decreases sharply from initial to current values.

The model provides a solution to the cosmological constant problem.

Abstract

Cosmological consequences of the Poincare-Weyl gauge theory of gravity are considered. A generalized cosmological constant depending from the Dirac scalar field is introduced. The stage of a super-early (Harrison-Zel'dovich) scale invariant Universe is considered. It is shown that while the scale factor sharply increases and demonstrates inflationary behavior, the generalized cosmological constant decreases sharply from a huge value at the beginning of the Big Bang to an extremely small value in the modern era, which solves the well-known "cosmological constant problem".