# On Dark Energy and Quantum Gravity

## TL;DR

This paper proposes a string theory-based model with doubled, non-commutative geometry that naturally explains dark energy and de Sitter spacetime, linking cosmological constant, Planck scale, and particle physics scales.

## Contribution

It introduces a novel string theory framework with doubled geometry to model dark energy and de Sitter spacetime, deriving a see-saw relation among fundamental scales.

## Key findings

- Dark energy modeled via dual space curvature
- Derived a see-saw relation linking cosmological constant, Planck, and TeV scales
- Consistent with observed de Sitter spacetime

## Abstract

Realizing dark energy and the observed de Sitter spacetime in quantum gravity has proven to be obstructed in most every usual approach. We argue that additional degrees of freedom of the left- and right-movers in string theory and a resulting doubled, non-commutatively generalized geometric formulation thereof can lead to an effective model of dark energy consistent with de Sitter spacetime. In this approach, the curvature of the canonically conjugate dual space provides for the dark energy inducing a positive cosmological constant in the observed spacetime, whereas the size of the above dual space is the gravitational constant in the same observed de Sitter spacetime. As a hallmark relation owing to a unique feature of string theory which relates short distances to long distances, the cosmological constant scale, the Planck scale, and the effective TeV-sized particle physics scale must satisfy a see-saw-like formula---precisely the generic prediction of certain stringy cosmic brane type models.