Vacuum Energy as the Origin of the Gravitational Constant

TL;DR

This paper proposes a novel geometric framework where vacuum energy influences the gravitational constant rather than causing a cosmological constant problem, potentially resolving the CCP.

Contribution

It introduces a geometro-dynamical approach linking vacuum energy to the gravitational constant through a dual role of the metric tensor.

Findings

Vacuum energy facilitates the generation of the gravitational constant.

Matter and radiation gravitate normally within this framework.

The approach reduces the cosmological constant problem at the classical level.

Abstract

We develop a geometro-dynamical approach to the cosmological constant problem (CCP) by invoking a geometry induced by the energy-momentum tensor of vacuum, matter and radiation. The construction, which utilizes the dual role of the metric tensor that it structures both the spacetime manifold and energy-momentum tensor of the vacuum, gives rise to a framework in which the vacuum energy induced by matter and radiation, instead of gravitating, facilitates the generation of the gravitational constant. The non-vacuum sources comprising matter and radiation gravitate normally. At the level of classical gravitation, the mechanism deadens the CCP yet quantum gravitational effects, if can be strong in de Sitter space, can keep it existent.