Equation of state, and atomic electron effective potential, for a Weyl scaling invariant dark energy

TL;DR

This paper calculates the equation of state parameter for a Weyl scaling invariant dark energy model, showing its compatibility with observations, and derives the atomic electron effective potential influenced by dark energy for potential experimental applications.

Contribution

It introduces a novel dark energy model with Weyl scaling invariance and derives its equation of state and atomic electron effective potential, linking cosmology and atomic physics.

Findings

The equation of state parameter w is consistent with observational data.

Derived atomic electron potential can be used to evaluate energy shifts in Rydberg atoms.

The model provides a new theoretical framework for dark energy effects on atomic scales.

Abstract

A key attribute of dark energy is the equation of state parameter $w={\rm pressure}/{\rm energy~density}$, and this has been recently measured observationally, giving values close to $-1$. In this paper we calculate the $w$ parameter characterizing the novel Weyl scaling invariant dark energy that we have analyzed in a series of papers, and show that it is compatible with experiment. We also derive the atomic electron effective potential induced by dark energy from the electron geodesic equation, which can be applied to the evaluation of energy level shifts in Rydberg atoms.