Could the Gravitons Have Rest Masses?

TL;DR

This paper argues that if the cosmological constant is non-negligible, then gravitons must have a non-zero rest mass, linking cosmological parameters to fundamental particle properties.

Contribution

It establishes a direct theoretical connection between the cosmological constant and the non-zero rest mass of gravitons.

Findings

Graviton rest mass is proportional to the square root of the cosmological constant.

Non-zero cosmological constant implies massive gravitons.

Provides a theoretical basis for considering massive gravitons in cosmology.

Abstract

If the cosmological constant $\Lambda $ can not be neglected, we will show in this short report, that graviton should have a rest mass $m_g=\sqrt{2\Lambda }=\sqrt{2\Lambda}\hbar c^{-1}$ different from zero.