A solution of the cosmological constant problem

TL;DR

This paper proposes a gauge-theoretic approach to the cosmological constant problem by introducing a mixed tensor field, leading to a bounded vacuum energy density and proportional gravitational and cosmological constants without anthropic reasoning.

Contribution

It introduces a novel gauge-theoretic formalism with a mixed tensor field to address the cosmological constant problem, avoiding Weinberg's no-go theorem.

Findings

Vacuum energy density is bounded.

Gravitational and cosmological constants are proportional to a tiny parameter.

The model provides a mechanism for vacuum energy adjustment.

Abstract

General relativity can be cast as a gauge theory by introducing a tetrad field and a spin-connection. This formalism was extended by replacing the tetrad field with a mixed tensor field independent of the metric tensor in order to develop a mechanism of adjustment of the vacuum energy density that takes advantage of Weinberg's no-go theorem. With no anthropic considerations, it was shown that the vacuum energy density is bounded and the gravitational and cosmological constants are proportional to a tiny dimensionless parameter determined by the coupling constants of the model.