# Gravitational Coupling and Dynamical Reduction of The Cosmological Constant

## TL;DR

This paper proposes a dynamical model that uses conformal invariance and gravitational coupling to reduce a large cosmological constant to a small value, potentially explaining the coincidence problem.

## Contribution

It introduces a novel conformal frame distinction and a dynamical mechanism involving the conformal factor to relax the cosmological constant.

## Key findings

- The model achieves a decay of the effective cosmological constant.
- It offers a possible explanation for the coincidence problem.
- The approach links large-scale universe properties with particle physics contributions.

## Abstract

We introduce a dynamical model to reduce a large cosmological constant to a sufficiently small value. The basic ingredient in this model is a distinction which has been made between the two unit systems used in cosmology and particle physics. We have used a conformal invariant gravitational model to define a particular conformal frame in terms of large scale properties of the universe. It is then argued that the contributions of mass scales in particle physics to the vacuum energy density should be considered in a different conformal frame. In this manner, a decaying mechanism is presented in which the conformal factor appears as a dynamical field and plays a key role to relax a large effective cosmological constant. Moreover, we argue that this model also provides a possible explanation for the coincidence problem.