The cosmological constant emerging from a symmetry invariant

TL;DR

This paper shows that the cosmological constant can naturally arise from spacetime symmetries within the Einstein-Hilbert action, linking it to quantum fluctuations and suppressing short wavelength modes.

Contribution

It introduces a symmetry-based invariant term in the Einstein-Hilbert action that explains the cosmological constant without additional assumptions.

Findings

The cosmological constant emerges naturally from spacetime symmetries.

The invariant term suppresses short wavelength modes.

The observed vacuum energy density is derived from quantum fluctuations.

Abstract

The cosmological constant is normally introduced as an additional term entering the Einstein-Hilbert (EH) action. In this letter we demonstrate that instead, it appears naturally from the standard EH action as an invariant term emerging from spacetime symmetries. We then demonstrate that the same constraint emerging from this invariant, suppresses the short wavelength modes and it favors the long wavelength ones. In this way, inside the proposed formulation, the observed value for the vacuum energy density is obtained naturally from the zero-point quantum fluctuations.