A speculative relation between the cosmological constant and the Planck mass

TL;DR

This paper proposes a speculative relation connecting the cosmological constant, Planck mass, and universe size, suggesting a new perspective on fundamental cosmological scales.

Contribution

It introduces a novel relation between the cosmological constant scale and fundamental mass scales, bridging cosmology and particle physics.

Findings

Proposes $M_\Lambda o (M_{Pl} M_U)^{1/2}$ as a relation between key cosmological scales.

Suggests a new way to understand the cosmological constant in terms of fundamental mass and length scales.

Provides a theoretical hypothesis linking cosmological and quantum scales.

Abstract

We propose the relation $M_\Lambda \sim (M_{Pl} M_U)^{1/2}$ where $M_\Lambda$, $M_{Pl},$ and $M_U$ denote the mass scale associated with the cosmological constant, the gravitational interaction, and the size of the universe respectively.