A Dark Energy Model Characterized by the Age of the Universe

TL;DR

This paper proposes a dark energy model based on quantum fluctuations of space-time, using the universe's age as a key measure, which aligns with astronomical data and predicts eternal acceleration.

Contribution

It introduces a novel dark energy model derived from quantum mechanics and general relativity, incorporating the universe's age as a fundamental length scale.

Findings

Consistent with astronomical observations with a parameter of order one.

Behaves like a cosmological constant at early times.

Predicts eternal accelerated expansion with power-law behavior at late times.

Abstract

Quantum mechanics together with general relativity leads to the K\'arolyh\'azy relation and a corresponding energy density of quantum fluctuations of space-time. Based on the energy density we propose a dark energy model, in which the age of the universe is introduced as the length measure. This dark energy is consistent with astronomical data if the unique numerical parameter in the dark energy model is taken to be a number of order one. The dark energy behaves like a cosmological constant at early time and drives the universe to an eternally accelerated expansion with power-law form at late time. In addition, we point out a subtlety in this kind of dark energy model.