About the Geometric Solution to the Problems of Dark Energy

TL;DR

This paper proposes a geometric approach to dark energy, suggesting that dividing space into Planck-scale regions yields an energy density matching observations and addressing key cosmological problems.

Contribution

It introduces a novel geometric model assuming space is partitioned into Planck-scale regions, providing insights into dark energy's nature and its observational properties.

Findings

Energy density matches observed vacuum energy

Addresses the coincidence problem

Reproduces quintessence-like equation of state

Abstract

In this paper is proposed a geometric solution to the dark energy, assuming that the space can be divided into regions of size $\sim L_{p}$ and energy $\sim E_{p}$. Significantly this assumption generate a energy density similar to the energy density observed for the vaccum energy, the correct solution for the coincidence problem and the state equation characteristic of quintessence in the comoving coordinates. Similarly is studied the ultraviolet and infrarred limits and the amount of dark energy in the Universe.